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Finding the Fourth Proportional to 8,257.43, 12,386 and 3,326.94

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Solution

The fourth proportional to 8,257.43, 12,386 and 3,326.94 is: 4,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.43 : 12,386 = 3,326.94 : x
  2. Step 2: Convert to fraction form
    8,257.43/12,386 = 3,326.94/x
  3. Step 3: Cross multiply
    8,257.43x = 12,386 × 3,326.94
  4. Step 4: Simplify right side
    8,257.43x = 41,207,478.84
  5. Step 5: Solve for x
    x = 41,207,478.84/8,257.43
  6. Step 6: Final answer
    x = 4,990.35

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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.