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Finding the Fourth Proportional to 11,655.17, 16,079.02 and 7,876.96

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Solution

The fourth proportional to 11,655.17, 16,079.02 and 7,876.96 is: 10,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.17 : 16,079.02 = 7,876.96 : x
  2. Step 2: Convert to fraction form
    11,655.17/16,079.02 = 7,876.96/x
  3. Step 3: Cross multiply
    11,655.17x = 16,079.02 × 7,876.96
  4. Step 4: Simplify right side
    11,655.17x = 126,653,797.38
  5. Step 5: Solve for x
    x = 126,653,797.38/11,655.17
  6. Step 6: Final answer
    x = 10,866.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.