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Finding the Fourth Proportional to 11,654.33, 16,077.86 and 7,876.13

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Solution

The fourth proportional to 11,654.33, 16,077.86 and 7,876.13 is: 10,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.33 : 16,077.86 = 7,876.13 : x
  2. Step 2: Convert to fraction form
    11,654.33/16,077.86 = 7,876.13/x
  3. Step 3: Cross multiply
    11,654.33x = 16,077.86 × 7,876.13
  4. Step 4: Simplify right side
    11,654.33x = 126,631,195.71
  5. Step 5: Solve for x
    x = 126,631,195.71/11,654.33
  6. Step 6: Final answer
    x = 10,865.59

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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.