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Finding the Fourth Proportional to 10,232.92, 15,339.12 and 6,539.32

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Solution

The fourth proportional to 10,232.92, 15,339.12 and 6,539.32 is: 9,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.92 : 15,339.12 = 6,539.32 : x
  2. Step 2: Convert to fraction form
    10,232.92/15,339.12 = 6,539.32/x
  3. Step 3: Cross multiply
    10,232.92x = 15,339.12 × 6,539.32
  4. Step 4: Simplify right side
    10,232.92x = 100,307,414.20
  5. Step 5: Solve for x
    x = 100,307,414.20/10,232.92
  6. Step 6: Final answer
    x = 9,802.42

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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.