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Finding the Fourth Proportional to 8,155.28, 12,231.84 and 2,312.30

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Solution

The fourth proportional to 8,155.28, 12,231.84 and 2,312.30 is: 3,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.28 : 12,231.84 = 2,312.30 : x
  2. Step 2: Convert to fraction form
    8,155.28/12,231.84 = 2,312.30/x
  3. Step 3: Cross multiply
    8,155.28x = 12,231.84 × 2,312.30
  4. Step 4: Simplify right side
    8,155.28x = 28,283,683.63
  5. Step 5: Solve for x
    x = 28,283,683.63/8,155.28
  6. Step 6: Final answer
    x = 3,468.14

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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.