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Finding the Fourth Proportional to 10,446.48, 15,663.60 and 4,206.24

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Solution

The fourth proportional to 10,446.48, 15,663.60 and 4,206.24 is: 6,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.48 : 15,663.60 = 4,206.24 : x
  2. Step 2: Convert to fraction form
    10,446.48/15,663.60 = 4,206.24/x
  3. Step 3: Cross multiply
    10,446.48x = 15,663.60 × 4,206.24
  4. Step 4: Simplify right side
    10,446.48x = 65,884,860.86
  5. Step 5: Solve for x
    x = 65,884,860.86/10,446.48
  6. Step 6: Final answer
    x = 6,306.90

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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.