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Finding the Fourth Proportional to 8,077.29, 11,146.29 and 4,540.41

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Solution

The fourth proportional to 8,077.29, 11,146.29 and 4,540.41 is: 6,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.29 : 11,146.29 = 4,540.41 : x
  2. Step 2: Convert to fraction form
    8,077.29/11,146.29 = 4,540.41/x
  3. Step 3: Cross multiply
    8,077.29x = 11,146.29 × 4,540.41
  4. Step 4: Simplify right side
    8,077.29x = 50,608,726.58
  5. Step 5: Solve for x
    x = 50,608,726.58/8,077.29
  6. Step 6: Final answer
    x = 6,265.56

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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.