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Finding the Fourth Proportional to 8,184.87, 12,279.06 and 2,638.53

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Solution

The fourth proportional to 8,184.87, 12,279.06 and 2,638.53 is: 3,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.87 : 12,279.06 = 2,638.53 : x
  2. Step 2: Convert to fraction form
    8,184.87/12,279.06 = 2,638.53/x
  3. Step 3: Cross multiply
    8,184.87x = 12,279.06 × 2,638.53
  4. Step 4: Simplify right side
    8,184.87x = 32,398,668.18
  5. Step 5: Solve for x
    x = 32,398,668.18/8,184.87
  6. Step 6: Final answer
    x = 3,958.36

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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.