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Finding the Fourth Proportional to 12,158.50, 16,778.30 and 6,853

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Solution

The fourth proportional to 12,158.50, 16,778.30 and 6,853 is: 9,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.50 : 16,778.30 = 6,853 : x
  2. Step 2: Convert to fraction form
    12,158.50/16,778.30 = 6,853/x
  3. Step 3: Cross multiply
    12,158.50x = 16,778.30 × 6,853
  4. Step 4: Simplify right side
    12,158.50x = 114,981,689.90
  5. Step 5: Solve for x
    x = 114,981,689.90/12,158.50
  6. Step 6: Final answer
    x = 9,456.90

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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.