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Finding the Fourth Proportional to 11,677.97, 16,116.04 and 6,642.65

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Solution

The fourth proportional to 11,677.97, 16,116.04 and 6,642.65 is: 9,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.97 : 16,116.04 = 6,642.65 : x
  2. Step 2: Convert to fraction form
    11,677.97/16,116.04 = 6,642.65/x
  3. Step 3: Cross multiply
    11,677.97x = 16,116.04 × 6,642.65
  4. Step 4: Simplify right side
    11,677.97x = 107,053,236.79
  5. Step 5: Solve for x
    x = 107,053,236.79/11,677.97
  6. Step 6: Final answer
    x = 9,167.11

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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.