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Finding the Fourth Proportional to 11,458.43, 15,812.42 and 6,422.71

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Solution

The fourth proportional to 11,458.43, 15,812.42 and 6,422.71 is: 8,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.43 : 15,812.42 = 6,422.71 : x
  2. Step 2: Convert to fraction form
    11,458.43/15,812.42 = 6,422.71/x
  3. Step 3: Cross multiply
    11,458.43x = 15,812.42 × 6,422.71
  4. Step 4: Simplify right side
    11,458.43x = 101,558,546.06
  5. Step 5: Solve for x
    x = 101,558,546.06/11,458.43
  6. Step 6: Final answer
    x = 8,863.22

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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.