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Finding the Fourth Proportional to 8,131.84, 12,197.70 and 2,288.41

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Solution

The fourth proportional to 8,131.84, 12,197.70 and 2,288.41 is: 3,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.84 : 12,197.70 = 2,288.41 : x
  2. Step 2: Convert to fraction form
    8,131.84/12,197.70 = 2,288.41/x
  3. Step 3: Cross multiply
    8,131.84x = 12,197.70 × 2,288.41
  4. Step 4: Simplify right side
    8,131.84x = 27,913,338.66
  5. Step 5: Solve for x
    x = 27,913,338.66/8,131.84
  6. Step 6: Final answer
    x = 3,432.60

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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.