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Finding the Fourth Proportional to 10,227.60, 15,339.24 and 3,654.18

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Solution

The fourth proportional to 10,227.60, 15,339.24 and 3,654.18 is: 5,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.60 : 15,339.24 = 3,654.18 : x
  2. Step 2: Convert to fraction form
    10,227.60/15,339.24 = 3,654.18/x
  3. Step 3: Cross multiply
    10,227.60x = 15,339.24 × 3,654.18
  4. Step 4: Simplify right side
    10,227.60x = 56,052,344.02
  5. Step 5: Solve for x
    x = 56,052,344.02/10,227.60
  6. Step 6: Final answer
    x = 5,480.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.