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Finding the Fourth Proportional to 10,272.29, 15,396.08 and 5,339.12

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Solution

The fourth proportional to 10,272.29, 15,396.08 and 5,339.12 is: 8,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.29 : 15,396.08 = 5,339.12 : x
  2. Step 2: Convert to fraction form
    10,272.29/15,396.08 = 5,339.12/x
  3. Step 3: Cross multiply
    10,272.29x = 15,396.08 × 5,339.12
  4. Step 4: Simplify right side
    10,272.29x = 82,201,414.97
  5. Step 5: Solve for x
    x = 82,201,414.97/10,272.29
  6. Step 6: Final answer
    x = 8,002.25

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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.