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Finding the Fourth Proportional to 8,251.74, 12,397.89 and 5,291.46

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Solution

The fourth proportional to 8,251.74, 12,397.89 and 5,291.46 is: 7,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.74 : 12,397.89 = 5,291.46 : x
  2. Step 2: Convert to fraction form
    8,251.74/12,397.89 = 5,291.46/x
  3. Step 3: Cross multiply
    8,251.74x = 12,397.89 × 5,291.46
  4. Step 4: Simplify right side
    8,251.74x = 65,602,939.02
  5. Step 5: Solve for x
    x = 65,602,939.02/8,251.74
  6. Step 6: Final answer
    x = 7,950.19

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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.