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Finding the Fourth Proportional to 10,251.60, 15,375.30 and 2,854.20

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Solution

The fourth proportional to 10,251.60, 15,375.30 and 2,854.20 is: 4,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.60 : 15,375.30 = 2,854.20 : x
  2. Step 2: Convert to fraction form
    10,251.60/15,375.30 = 2,854.20/x
  3. Step 3: Cross multiply
    10,251.60x = 15,375.30 × 2,854.20
  4. Step 4: Simplify right side
    10,251.60x = 43,884,181.26
  5. Step 5: Solve for x
    x = 43,884,181.26/10,251.60
  6. Step 6: Final answer
    x = 4,280.72

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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.