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Finding the Fourth Proportional to 8,101.38, 11,181.34 and 7,732.02

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Solution

The fourth proportional to 8,101.38, 11,181.34 and 7,732.02 is: 10,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.38 : 11,181.34 = 7,732.02 : x
  2. Step 2: Convert to fraction form
    8,101.38/11,181.34 = 7,732.02/x
  3. Step 3: Cross multiply
    8,101.38x = 11,181.34 × 7,732.02
  4. Step 4: Simplify right side
    8,101.38x = 86,454,344.51
  5. Step 5: Solve for x
    x = 86,454,344.51/8,101.38
  6. Step 6: Final answer
    x = 10,671.56

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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.