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Finding the Fourth Proportional to 8,108.91, 12,148.79 and 4,201.47

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Solution

The fourth proportional to 8,108.91, 12,148.79 and 4,201.47 is: 6,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.91 : 12,148.79 = 4,201.47 : x
  2. Step 2: Convert to fraction form
    8,108.91/12,148.79 = 4,201.47/x
  3. Step 3: Cross multiply
    8,108.91x = 12,148.79 × 4,201.47
  4. Step 4: Simplify right side
    8,108.91x = 51,042,755.71
  5. Step 5: Solve for x
    x = 51,042,755.71/8,108.91
  6. Step 6: Final answer
    x = 6,294.65

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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.