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Finding the Fourth Proportional to 8,576.86, 11,838.36 and 5,042.43

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Solution

The fourth proportional to 8,576.86, 11,838.36 and 5,042.43 is: 6,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.86 : 11,838.36 = 5,042.43 : x
  2. Step 2: Convert to fraction form
    8,576.86/11,838.36 = 5,042.43/x
  3. Step 3: Cross multiply
    8,576.86x = 11,838.36 × 5,042.43
  4. Step 4: Simplify right side
    8,576.86x = 59,694,101.61
  5. Step 5: Solve for x
    x = 59,694,101.61/8,576.86
  6. Step 6: Final answer
    x = 6,959.90

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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.