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Finding the Fourth Proportional to 10,279.92, 15,419.88 and 5,900.16

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Solution

The fourth proportional to 10,279.92, 15,419.88 and 5,900.16 is: 8,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.92 : 15,419.88 = 5,900.16 : x
  2. Step 2: Convert to fraction form
    10,279.92/15,419.88 = 5,900.16/x
  3. Step 3: Cross multiply
    10,279.92x = 15,419.88 × 5,900.16
  4. Step 4: Simplify right side
    10,279.92x = 90,979,759.18
  5. Step 5: Solve for x
    x = 90,979,759.18/10,279.92
  6. Step 6: Final answer
    x = 8,850.24

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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.