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Finding the Fourth Proportional to 8,310.36, 12,465.78 and 3,115.24

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Solution

The fourth proportional to 8,310.36, 12,465.78 and 3,115.24 is: 4,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.36 : 12,465.78 = 3,115.24 : x
  2. Step 2: Convert to fraction form
    8,310.36/12,465.78 = 3,115.24/x
  3. Step 3: Cross multiply
    8,310.36x = 12,465.78 × 3,115.24
  4. Step 4: Simplify right side
    8,310.36x = 38,833,896.49
  5. Step 5: Solve for x
    x = 38,833,896.49/8,310.36
  6. Step 6: Final answer
    x = 4,672.95

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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.