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Finding the Fourth Proportional to 10,256.97, 15,391.94 and 5,882.97

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Solution

The fourth proportional to 10,256.97, 15,391.94 and 5,882.97 is: 8,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.97 : 15,391.94 = 5,882.97 : x
  2. Step 2: Convert to fraction form
    10,256.97/15,391.94 = 5,882.97/x
  3. Step 3: Cross multiply
    10,256.97x = 15,391.94 × 5,882.97
  4. Step 4: Simplify right side
    10,256.97x = 90,550,321.26
  5. Step 5: Solve for x
    x = 90,550,321.26/10,256.97
  6. Step 6: Final answer
    x = 8,828.17

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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.