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Finding the Fourth Proportional to 8,251.65, 11,387.03 and 5,897.73

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Solution

The fourth proportional to 8,251.65, 11,387.03 and 5,897.73 is: 8,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.65 : 11,387.03 = 5,897.73 : x
  2. Step 2: Convert to fraction form
    8,251.65/11,387.03 = 5,897.73/x
  3. Step 3: Cross multiply
    8,251.65x = 11,387.03 × 5,897.73
  4. Step 4: Simplify right side
    8,251.65x = 67,157,598.95
  5. Step 5: Solve for x
    x = 67,157,598.95/8,251.65
  6. Step 6: Final answer
    x = 8,138.69

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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.