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Finding the Fourth Proportional to 8,371.32, 11,540.61 and 5,980.66

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Solution

The fourth proportional to 8,371.32, 11,540.61 and 5,980.66 is: 8,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.32 : 11,540.61 = 5,980.66 : x
  2. Step 2: Convert to fraction form
    8,371.32/11,540.61 = 5,980.66/x
  3. Step 3: Cross multiply
    8,371.32x = 11,540.61 × 5,980.66
  4. Step 4: Simplify right side
    8,371.32x = 69,020,377.00
  5. Step 5: Solve for x
    x = 69,020,377.00/8,371.32
  6. Step 6: Final answer
    x = 8,244.86

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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.