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Finding the Fourth Proportional to 10,431.74, 14,397.18 and 5,954.48

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Solution

The fourth proportional to 10,431.74, 14,397.18 and 5,954.48 is: 8,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.74 : 14,397.18 = 5,954.48 : x
  2. Step 2: Convert to fraction form
    10,431.74/14,397.18 = 5,954.48/x
  3. Step 3: Cross multiply
    10,431.74x = 14,397.18 × 5,954.48
  4. Step 4: Simplify right side
    10,431.74x = 85,727,720.37
  5. Step 5: Solve for x
    x = 85,727,720.37/10,431.74
  6. Step 6: Final answer
    x = 8,217.97

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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.