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Finding the Fourth Proportional to 10,405.20, 15,613.20 and 4,562.40

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Solution

The fourth proportional to 10,405.20, 15,613.20 and 4,562.40 is: 6,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.20 : 15,613.20 = 4,562.40 : x
  2. Step 2: Convert to fraction form
    10,405.20/15,613.20 = 4,562.40/x
  3. Step 3: Cross multiply
    10,405.20x = 15,613.20 × 4,562.40
  4. Step 4: Simplify right side
    10,405.20x = 71,233,663.68
  5. Step 5: Solve for x
    x = 71,233,663.68/10,405.20
  6. Step 6: Final answer
    x = 6,845.97

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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.