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Finding the Fourth Proportional to 8,134.79, 12,202.17 and 2,588.13

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Solution

The fourth proportional to 8,134.79, 12,202.17 and 2,588.13 is: 3,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.79 : 12,202.17 = 2,588.13 : x
  2. Step 2: Convert to fraction form
    8,134.79/12,202.17 = 2,588.13/x
  3. Step 3: Cross multiply
    8,134.79x = 12,202.17 × 2,588.13
  4. Step 4: Simplify right side
    8,134.79x = 31,580,802.24
  5. Step 5: Solve for x
    x = 31,580,802.24/8,134.79
  6. Step 6: Final answer
    x = 3,882.19

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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.