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Finding the Fourth Proportional to 10,497.02, 14,473.87 and 7,839.94

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Solution

The fourth proportional to 10,497.02, 14,473.87 and 7,839.94 is: 10,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.02 : 14,473.87 = 7,839.94 : x
  2. Step 2: Convert to fraction form
    10,497.02/14,473.87 = 7,839.94/x
  3. Step 3: Cross multiply
    10,497.02x = 14,473.87 × 7,839.94
  4. Step 4: Simplify right side
    10,497.02x = 113,474,272.37
  5. Step 5: Solve for x
    x = 113,474,272.37/10,497.02
  6. Step 6: Final answer
    x = 10,810.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.