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Finding the Fourth Proportional to 8,029.02, 11,964.71 and 7,764.76

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Solution

The fourth proportional to 8,029.02, 11,964.71 and 7,764.76 is: 11,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.02 : 11,964.71 = 7,764.76 : x
  2. Step 2: Convert to fraction form
    8,029.02/11,964.71 = 7,764.76/x
  3. Step 3: Cross multiply
    8,029.02x = 11,964.71 × 7,764.76
  4. Step 4: Simplify right side
    8,029.02x = 92,903,135.99
  5. Step 5: Solve for x
    x = 92,903,135.99/8,029.02
  6. Step 6: Final answer
    x = 11,570.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.