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Finding the Fourth Proportional to 10,385.92, 15,571.05 and 5,382.91

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Solution

The fourth proportional to 10,385.92, 15,571.05 and 5,382.91 is: 8,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.92 : 15,571.05 = 5,382.91 : x
  2. Step 2: Convert to fraction form
    10,385.92/15,571.05 = 5,382.91/x
  3. Step 3: Cross multiply
    10,385.92x = 15,571.05 × 5,382.91
  4. Step 4: Simplify right side
    10,385.92x = 83,817,560.76
  5. Step 5: Solve for x
    x = 83,817,560.76/10,385.92
  6. Step 6: Final answer
    x = 8,070.31

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