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Finding the Fourth Proportional to 8,102.97, 11,179.22 and 4,565.30

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Solution

The fourth proportional to 8,102.97, 11,179.22 and 4,565.30 is: 6,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.97 : 11,179.22 = 4,565.30 : x
  2. Step 2: Convert to fraction form
    8,102.97/11,179.22 = 4,565.30/x
  3. Step 3: Cross multiply
    8,102.97x = 11,179.22 × 4,565.30
  4. Step 4: Simplify right side
    8,102.97x = 51,036,414.34
  5. Step 5: Solve for x
    x = 51,036,414.34/8,102.97
  6. Step 6: Final answer
    x = 6,298.48

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