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Finding the Fourth Proportional to 11,200.70, 15,456.17 and 6,663.13

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Solution

The fourth proportional to 11,200.70, 15,456.17 and 6,663.13 is: 9,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.70 : 15,456.17 = 6,663.13 : x
  2. Step 2: Convert to fraction form
    11,200.70/15,456.17 = 6,663.13/x
  3. Step 3: Cross multiply
    11,200.70x = 15,456.17 × 6,663.13
  4. Step 4: Simplify right side
    11,200.70x = 102,986,359.42
  5. Step 5: Solve for x
    x = 102,986,359.42/11,200.70
  6. Step 6: Final answer
    x = 9,194.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.