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Finding the Fourth Proportional to 11,637.80, 16,078.97 and 8,116.73

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Solution

The fourth proportional to 11,637.80, 16,078.97 and 8,116.73 is: 11,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.80 : 16,078.97 = 8,116.73 : x
  2. Step 2: Convert to fraction form
    11,637.80/16,078.97 = 8,116.73/x
  3. Step 3: Cross multiply
    11,637.80x = 16,078.97 × 8,116.73
  4. Step 4: Simplify right side
    11,637.80x = 130,508,658.17
  5. Step 5: Solve for x
    x = 130,508,658.17/11,637.80
  6. Step 6: Final answer
    x = 11,214.20

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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.