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Finding the Fourth Proportional to 8,155.53, 12,234.24 and 2,312.46

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Solution

The fourth proportional to 8,155.53, 12,234.24 and 2,312.46 is: 3,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.53 : 12,234.24 = 2,312.46 : x
  2. Step 2: Convert to fraction form
    8,155.53/12,234.24 = 2,312.46/x
  3. Step 3: Cross multiply
    8,155.53x = 12,234.24 × 2,312.46
  4. Step 4: Simplify right side
    8,155.53x = 28,291,190.63
  5. Step 5: Solve for x
    x = 28,291,190.63/8,155.53
  6. Step 6: Final answer
    x = 3,468.96

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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.