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Finding the Fourth Proportional to 10,539.12, 15,810.24 and 6,382.32

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Solution

The fourth proportional to 10,539.12, 15,810.24 and 6,382.32 is: 9,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.12 : 15,810.24 = 6,382.32 : x
  2. Step 2: Convert to fraction form
    10,539.12/15,810.24 = 6,382.32/x
  3. Step 3: Cross multiply
    10,539.12x = 15,810.24 × 6,382.32
  4. Step 4: Simplify right side
    10,539.12x = 100,906,010.96
  5. Step 5: Solve for x
    x = 100,906,010.96/10,539.12
  6. Step 6: Final answer
    x = 9,574.42

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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.