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Finding the Fourth Proportional to 8,155.72, 12,231.90 and 2,312.20

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Solution

The fourth proportional to 8,155.72, 12,231.90 and 2,312.20 is: 3,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.72 : 12,231.90 = 2,312.20 : x
  2. Step 2: Convert to fraction form
    8,155.72/12,231.90 = 2,312.20/x
  3. Step 3: Cross multiply
    8,155.72x = 12,231.90 × 2,312.20
  4. Step 4: Simplify right side
    8,155.72x = 28,282,599.18
  5. Step 5: Solve for x
    x = 28,282,599.18/8,155.72
  6. Step 6: Final answer
    x = 3,467.82

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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.