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Finding the Fourth Proportional to 8,122.78, 12,184.59 and 2,279.84

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Solution

The fourth proportional to 8,122.78, 12,184.59 and 2,279.84 is: 3,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.78 : 12,184.59 = 2,279.84 : x
  2. Step 2: Convert to fraction form
    8,122.78/12,184.59 = 2,279.84/x
  3. Step 3: Cross multiply
    8,122.78x = 12,184.59 × 2,279.84
  4. Step 4: Simplify right side
    8,122.78x = 27,778,915.67
  5. Step 5: Solve for x
    x = 27,778,915.67/8,122.78
  6. Step 6: Final answer
    x = 3,419.88

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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.