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Finding the Fourth Proportional to 8,324.92, 12,486.51 and 3,131.20

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Solution

The fourth proportional to 8,324.92, 12,486.51 and 3,131.20 is: 4,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.92 : 12,486.51 = 3,131.20 : x
  2. Step 2: Convert to fraction form
    8,324.92/12,486.51 = 3,131.20/x
  3. Step 3: Cross multiply
    8,324.92x = 12,486.51 × 3,131.20
  4. Step 4: Simplify right side
    8,324.92x = 39,097,760.11
  5. Step 5: Solve for x
    x = 39,097,760.11/8,324.92
  6. Step 6: Final answer
    x = 4,696.47

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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.