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Finding the Fourth Proportional to 8,122.34, 12,184.19 and 2,278.94

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Solution

The fourth proportional to 8,122.34, 12,184.19 and 2,278.94 is: 3,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.34 : 12,184.19 = 2,278.94 : x
  2. Step 2: Convert to fraction form
    8,122.34/12,184.19 = 2,278.94/x
  3. Step 3: Cross multiply
    8,122.34x = 12,184.19 × 2,278.94
  4. Step 4: Simplify right side
    8,122.34x = 27,767,037.96
  5. Step 5: Solve for x
    x = 27,767,037.96/8,122.34
  6. Step 6: Final answer
    x = 3,418.60

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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.