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Finding the Fourth Proportional to 11,542.34, 17,299.92 and 6,614.30

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Solution

The fourth proportional to 11,542.34, 17,299.92 and 6,614.30 is: 9,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.34 : 17,299.92 = 6,614.30 : x
  2. Step 2: Convert to fraction form
    11,542.34/17,299.92 = 6,614.30/x
  3. Step 3: Cross multiply
    11,542.34x = 17,299.92 × 6,614.30
  4. Step 4: Simplify right side
    11,542.34x = 114,426,860.86
  5. Step 5: Solve for x
    x = 114,426,860.86/11,542.34
  6. Step 6: Final answer
    x = 9,913.66

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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.