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Finding the Fourth Proportional to 10,311.39, 15,447.16 and 6,154.71

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Solution

The fourth proportional to 10,311.39, 15,447.16 and 6,154.71 is: 9,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.39 : 15,447.16 = 6,154.71 : x
  2. Step 2: Convert to fraction form
    10,311.39/15,447.16 = 6,154.71/x
  3. Step 3: Cross multiply
    10,311.39x = 15,447.16 × 6,154.71
  4. Step 4: Simplify right side
    10,311.39x = 95,072,759.35
  5. Step 5: Solve for x
    x = 95,072,759.35/10,311.39
  6. Step 6: Final answer
    x = 9,220.17

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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.