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Finding the Fourth Proportional to 8,122.88, 12,184.56 and 2,279.49

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Solution

The fourth proportional to 8,122.88, 12,184.56 and 2,279.49 is: 3,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.88 : 12,184.56 = 2,279.49 : x
  2. Step 2: Convert to fraction form
    8,122.88/12,184.56 = 2,279.49/x
  3. Step 3: Cross multiply
    8,122.88x = 12,184.56 × 2,279.49
  4. Step 4: Simplify right side
    8,122.88x = 27,774,582.67
  5. Step 5: Solve for x
    x = 27,774,582.67/8,122.88
  6. Step 6: Final answer
    x = 3,419.30

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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.