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Finding the Fourth Proportional to 8,310.29, 12,463.30 and 2,465.53

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Solution

The fourth proportional to 8,310.29, 12,463.30 and 2,465.53 is: 3,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.29 : 12,463.30 = 2,465.53 : x
  2. Step 2: Convert to fraction form
    8,310.29/12,463.30 = 2,465.53/x
  3. Step 3: Cross multiply
    8,310.29x = 12,463.30 × 2,465.53
  4. Step 4: Simplify right side
    8,310.29x = 30,728,640.05
  5. Step 5: Solve for x
    x = 30,728,640.05/8,310.29
  6. Step 6: Final answer
    x = 3,697.66

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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.