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Finding the Fourth Proportional to 8,132.18, 12,199.17 and 3,201.17

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Solution

The fourth proportional to 8,132.18, 12,199.17 and 3,201.17 is: 4,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.18 : 12,199.17 = 3,201.17 : x
  2. Step 2: Convert to fraction form
    8,132.18/12,199.17 = 3,201.17/x
  3. Step 3: Cross multiply
    8,132.18x = 12,199.17 × 3,201.17
  4. Step 4: Simplify right side
    8,132.18x = 39,051,617.03
  5. Step 5: Solve for x
    x = 39,051,617.03/8,132.18
  6. Step 6: Final answer
    x = 4,802.11

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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.