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Finding the Fourth Proportional to 8,312.19, 12,478.41 and 3,874.11

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Solution

The fourth proportional to 8,312.19, 12,478.41 and 3,874.11 is: 5,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.19 : 12,478.41 = 3,874.11 : x
  2. Step 2: Convert to fraction form
    8,312.19/12,478.41 = 3,874.11/x
  3. Step 3: Cross multiply
    8,312.19x = 12,478.41 × 3,874.11
  4. Step 4: Simplify right side
    8,312.19x = 48,342,732.97
  5. Step 5: Solve for x
    x = 48,342,732.97/8,312.19
  6. Step 6: Final answer
    x = 5,815.88

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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.