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Finding the Fourth Proportional to 8,224.58, 12,337.42 and 2,960.66

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Solution

The fourth proportional to 8,224.58, 12,337.42 and 2,960.66 is: 4,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.58 : 12,337.42 = 2,960.66 : x
  2. Step 2: Convert to fraction form
    8,224.58/12,337.42 = 2,960.66/x
  3. Step 3: Cross multiply
    8,224.58x = 12,337.42 × 2,960.66
  4. Step 4: Simplify right side
    8,224.58x = 36,526,905.90
  5. Step 5: Solve for x
    x = 36,526,905.90/8,224.58
  6. Step 6: Final answer
    x = 4,441.19

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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.