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Finding the Fourth Proportional to 10,411.80, 15,600.42 and 7,327.32

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Solution

The fourth proportional to 10,411.80, 15,600.42 and 7,327.32 is: 10,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.80 : 15,600.42 = 7,327.32 : x
  2. Step 2: Convert to fraction form
    10,411.80/15,600.42 = 7,327.32/x
  3. Step 3: Cross multiply
    10,411.80x = 15,600.42 × 7,327.32
  4. Step 4: Simplify right side
    10,411.80x = 114,309,269.47
  5. Step 5: Solve for x
    x = 114,309,269.47/10,411.80
  6. Step 6: Final answer
    x = 10,978.82

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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.