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Finding the Fourth Proportional to 10,663.88, 15,998 and 3,743.24

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Solution

The fourth proportional to 10,663.88, 15,998 and 3,743.24 is: 5,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.88 : 15,998 = 3,743.24 : x
  2. Step 2: Convert to fraction form
    10,663.88/15,998 = 3,743.24/x
  3. Step 3: Cross multiply
    10,663.88x = 15,998 × 3,743.24
  4. Step 4: Simplify right side
    10,663.88x = 59,884,353.52
  5. Step 5: Solve for x
    x = 59,884,353.52/10,663.88
  6. Step 6: Final answer
    x = 5,615.63

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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.