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Finding the Fourth Proportional to 8,100.38, 11,179.96 and 7,731.02

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Solution

The fourth proportional to 8,100.38, 11,179.96 and 7,731.02 is: 10,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.38 : 11,179.96 = 7,731.02 : x
  2. Step 2: Convert to fraction form
    8,100.38/11,179.96 = 7,731.02/x
  3. Step 3: Cross multiply
    8,100.38x = 11,179.96 × 7,731.02
  4. Step 4: Simplify right side
    8,100.38x = 86,432,494.36
  5. Step 5: Solve for x
    x = 86,432,494.36/8,100.38
  6. Step 6: Final answer
    x = 10,670.18

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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.