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Finding the Fourth Proportional to 8,257.81, 12,382.10 and 2,709.67

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Solution

The fourth proportional to 8,257.81, 12,382.10 and 2,709.67 is: 4,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.81 : 12,382.10 = 2,709.67 : x
  2. Step 2: Convert to fraction form
    8,257.81/12,382.10 = 2,709.67/x
  3. Step 3: Cross multiply
    8,257.81x = 12,382.10 × 2,709.67
  4. Step 4: Simplify right side
    8,257.81x = 33,551,404.91
  5. Step 5: Solve for x
    x = 33,551,404.91/8,257.81
  6. Step 6: Final answer
    x = 4,062.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.