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Finding the Fourth Proportional to 10,433.29, 14,398.31 and 5,956.97

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Solution

The fourth proportional to 10,433.29, 14,398.31 and 5,956.97 is: 8,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.29 : 14,398.31 = 5,956.97 : x
  2. Step 2: Convert to fraction form
    10,433.29/14,398.31 = 5,956.97/x
  3. Step 3: Cross multiply
    10,433.29x = 14,398.31 × 5,956.97
  4. Step 4: Simplify right side
    10,433.29x = 85,770,250.61
  5. Step 5: Solve for x
    x = 85,770,250.61/10,433.29
  6. Step 6: Final answer
    x = 8,220.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.