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Finding the Fourth Proportional to 10,250.47, 15,374.17 and 2,854.17

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Solution

The fourth proportional to 10,250.47, 15,374.17 and 2,854.17 is: 4,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.47 : 15,374.17 = 2,854.17 : x
  2. Step 2: Convert to fraction form
    10,250.47/15,374.17 = 2,854.17/x
  3. Step 3: Cross multiply
    10,250.47x = 15,374.17 × 2,854.17
  4. Step 4: Simplify right side
    10,250.47x = 43,880,494.79
  5. Step 5: Solve for x
    x = 43,880,494.79/10,250.47
  6. Step 6: Final answer
    x = 4,280.83

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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.