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Finding the Fourth Proportional to 10,760.97, 14,850.33 and 6,512.13

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Solution

The fourth proportional to 10,760.97, 14,850.33 and 6,512.13 is: 8,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.97 : 14,850.33 = 6,512.13 : x
  2. Step 2: Convert to fraction form
    10,760.97/14,850.33 = 6,512.13/x
  3. Step 3: Cross multiply
    10,760.97x = 14,850.33 × 6,512.13
  4. Step 4: Simplify right side
    10,760.97x = 96,707,279.50
  5. Step 5: Solve for x
    x = 96,707,279.50/10,760.97
  6. Step 6: Final answer
    x = 8,986.86

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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.