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Finding the Fourth Proportional to 8,143.20, 12,207.83 and 7,755.66

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Solution

The fourth proportional to 8,143.20, 12,207.83 and 7,755.66 is: 11,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.20 : 12,207.83 = 7,755.66 : x
  2. Step 2: Convert to fraction form
    8,143.20/12,207.83 = 7,755.66/x
  3. Step 3: Cross multiply
    8,143.20x = 12,207.83 × 7,755.66
  4. Step 4: Simplify right side
    8,143.20x = 94,679,740.04
  5. Step 5: Solve for x
    x = 94,679,740.04/8,143.20
  6. Step 6: Final answer
    x = 11,626.85

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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.