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Finding the Fourth Proportional to 8,224.29, 12,331 and 2,956.66

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Solution

The fourth proportional to 8,224.29, 12,331 and 2,956.66 is: 4,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.29 : 12,331 = 2,956.66 : x
  2. Step 2: Convert to fraction form
    8,224.29/12,331 = 2,956.66/x
  3. Step 3: Cross multiply
    8,224.29x = 12,331 × 2,956.66
  4. Step 4: Simplify right side
    8,224.29x = 36,458,574.46
  5. Step 5: Solve for x
    x = 36,458,574.46/8,224.29
  6. Step 6: Final answer
    x = 4,433.04

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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.