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Finding the Fourth Proportional to 8,155.48, 12,234.29 and 2,312.25

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Solution

The fourth proportional to 8,155.48, 12,234.29 and 2,312.25 is: 3,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.48 : 12,234.29 = 2,312.25 : x
  2. Step 2: Convert to fraction form
    8,155.48/12,234.29 = 2,312.25/x
  3. Step 3: Cross multiply
    8,155.48x = 12,234.29 × 2,312.25
  4. Step 4: Simplify right side
    8,155.48x = 28,288,737.05
  5. Step 5: Solve for x
    x = 28,288,737.05/8,155.48
  6. Step 6: Final answer
    x = 3,468.68

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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.