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Finding the Fourth Proportional to 12,160.88, 16,781.52 and 6,856.80

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Solution

The fourth proportional to 12,160.88, 16,781.52 and 6,856.80 is: 9,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.88 : 16,781.52 = 6,856.80 : x
  2. Step 2: Convert to fraction form
    12,160.88/16,781.52 = 6,856.80/x
  3. Step 3: Cross multiply
    12,160.88x = 16,781.52 × 6,856.80
  4. Step 4: Simplify right side
    12,160.88x = 115,067,526.34
  5. Step 5: Solve for x
    x = 115,067,526.34/12,160.88
  6. Step 6: Final answer
    x = 9,462.11

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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.