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Finding the Fourth Proportional to 10,711.30, 14,761.56 and 7,722.04

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Solution

The fourth proportional to 10,711.30, 14,761.56 and 7,722.04 is: 10,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.30 : 14,761.56 = 7,722.04 : x
  2. Step 2: Convert to fraction form
    10,711.30/14,761.56 = 7,722.04/x
  3. Step 3: Cross multiply
    10,711.30x = 14,761.56 × 7,722.04
  4. Step 4: Simplify right side
    10,711.30x = 113,989,356.78
  5. Step 5: Solve for x
    x = 113,989,356.78/10,711.30
  6. Step 6: Final answer
    x = 10,641.97

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