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Finding the Fourth Proportional to 8,287.66, 12,432.06 and 2,744.91

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Solution

The fourth proportional to 8,287.66, 12,432.06 and 2,744.91 is: 4,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.66 : 12,432.06 = 2,744.91 : x
  2. Step 2: Convert to fraction form
    8,287.66/12,432.06 = 2,744.91/x
  3. Step 3: Cross multiply
    8,287.66x = 12,432.06 × 2,744.91
  4. Step 4: Simplify right side
    8,287.66x = 34,124,885.81
  5. Step 5: Solve for x
    x = 34,124,885.81/8,287.66
  6. Step 6: Final answer
    x = 4,117.55

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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.