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Finding the Fourth Proportional to 7,839,002.74, 11,758,504.11 and 7,839,002.74

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Solution

The fourth proportional to 7,839,002.74, 11,758,504.11 and 7,839,002.74 is: 11,758,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839,002.74 : 11,758,504.11 = 7,839,002.74 : x
  2. Step 2: Convert to fraction form
    7,839,002.74/11,758,504.11 = 7,839,002.74/x
  3. Step 3: Cross multiply
    7,839,002.74x = 11,758,504.11 × 7,839,002.74
  4. Step 4: Simplify right side
    7,839,002.74x = 92,174,945,877,798.73
  5. Step 5: Solve for x
    x = 92,174,945,877,798.73/7,839,002.74
  6. Step 6: Final answer
    x = 11,758,504.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.