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Finding the Fourth Proportional to 10,866.38, 14,995.67 and 6,151.64

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Solution

The fourth proportional to 10,866.38, 14,995.67 and 6,151.64 is: 8,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.38 : 14,995.67 = 6,151.64 : x
  2. Step 2: Convert to fraction form
    10,866.38/14,995.67 = 6,151.64/x
  3. Step 3: Cross multiply
    10,866.38x = 14,995.67 × 6,151.64
  4. Step 4: Simplify right side
    10,866.38x = 92,247,857.66
  5. Step 5: Solve for x
    x = 92,247,857.66/10,866.38
  6. Step 6: Final answer
    x = 8,489.29

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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.