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Finding the Fourth Proportional to 8,141.95, 11,233.75 and 4,691.68

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Solution

The fourth proportional to 8,141.95, 11,233.75 and 4,691.68 is: 6,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.95 : 11,233.75 = 4,691.68 : x
  2. Step 2: Convert to fraction form
    8,141.95/11,233.75 = 4,691.68/x
  3. Step 3: Cross multiply
    8,141.95x = 11,233.75 × 4,691.68
  4. Step 4: Simplify right side
    8,141.95x = 52,705,209.97
  5. Step 5: Solve for x
    x = 52,705,209.97/8,141.95
  6. Step 6: Final answer
    x = 6,473.29

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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.