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Finding the Fourth Proportional to 8,237.84, 12,356.87 and 2,691.14

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Solution

The fourth proportional to 8,237.84, 12,356.87 and 2,691.14 is: 4,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.84 : 12,356.87 = 2,691.14 : x
  2. Step 2: Convert to fraction form
    8,237.84/12,356.87 = 2,691.14/x
  3. Step 3: Cross multiply
    8,237.84x = 12,356.87 × 2,691.14
  4. Step 4: Simplify right side
    8,237.84x = 33,253,991.89
  5. Step 5: Solve for x
    x = 33,253,991.89/8,237.84
  6. Step 6: Final answer
    x = 4,036.74

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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.