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Finding the Fourth Proportional to 10,614.42, 14,658.54 and 8,744.52

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Solution

The fourth proportional to 10,614.42, 14,658.54 and 8,744.52 is: 12,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.42 : 14,658.54 = 8,744.52 : x
  2. Step 2: Convert to fraction form
    10,614.42/14,658.54 = 8,744.52/x
  3. Step 3: Cross multiply
    10,614.42x = 14,658.54 × 8,744.52
  4. Step 4: Simplify right side
    10,614.42x = 128,181,896.20
  5. Step 5: Solve for x
    x = 128,181,896.20/10,614.42
  6. Step 6: Final answer
    x = 12,076.20

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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.