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Finding the Fourth Proportional to 8,098.79, 12,140.89 and 3,171.96

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Solution

The fourth proportional to 8,098.79, 12,140.89 and 3,171.96 is: 4,755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.79 : 12,140.89 = 3,171.96 : x
  2. Step 2: Convert to fraction form
    8,098.79/12,140.89 = 3,171.96/x
  3. Step 3: Cross multiply
    8,098.79x = 12,140.89 × 3,171.96
  4. Step 4: Simplify right side
    8,098.79x = 38,510,409.51
  5. Step 5: Solve for x
    x = 38,510,409.51/8,098.79
  6. Step 6: Final answer
    x = 4,755.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.