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Finding the Fourth Proportional to 8,310.46, 12,443.19 and 5,182.96

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Solution

The fourth proportional to 8,310.46, 12,443.19 and 5,182.96 is: 7,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.46 : 12,443.19 = 5,182.96 : x
  2. Step 2: Convert to fraction form
    8,310.46/12,443.19 = 5,182.96/x
  3. Step 3: Cross multiply
    8,310.46x = 12,443.19 × 5,182.96
  4. Step 4: Simplify right side
    8,310.46x = 64,492,556.04
  5. Step 5: Solve for x
    x = 64,492,556.04/8,310.46
  6. Step 6: Final answer
    x = 7,760.41

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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.