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Finding the Fourth Proportional to 10,686.52, 14,748 and 5,906.44

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Solution

The fourth proportional to 10,686.52, 14,748 and 5,906.44 is: 8,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.52 : 14,748 = 5,906.44 : x
  2. Step 2: Convert to fraction form
    10,686.52/14,748 = 5,906.44/x
  3. Step 3: Cross multiply
    10,686.52x = 14,748 × 5,906.44
  4. Step 4: Simplify right side
    10,686.52x = 87,108,177.12
  5. Step 5: Solve for x
    x = 87,108,177.12/10,686.52
  6. Step 6: Final answer
    x = 8,151.22

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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.