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Finding the Fourth Proportional to 10,250.40, 15,375.60 and 9,148.80

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Solution

The fourth proportional to 10,250.40, 15,375.60 and 9,148.80 is: 13,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.40 : 15,375.60 = 9,148.80 : x
  2. Step 2: Convert to fraction form
    10,250.40/15,375.60 = 9,148.80/x
  3. Step 3: Cross multiply
    10,250.40x = 15,375.60 × 9,148.80
  4. Step 4: Simplify right side
    10,250.40x = 140,668,289.28
  5. Step 5: Solve for x
    x = 140,668,289.28/10,250.40
  6. Step 6: Final answer
    x = 13,723.20

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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.