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Finding the Fourth Proportional to 7,956.66, 11,937.42 and 2,766.18

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Solution

The fourth proportional to 7,956.66, 11,937.42 and 2,766.18 is: 4,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.66 : 11,937.42 = 2,766.18 : x
  2. Step 2: Convert to fraction form
    7,956.66/11,937.42 = 2,766.18/x
  3. Step 3: Cross multiply
    7,956.66x = 11,937.42 × 2,766.18
  4. Step 4: Simplify right side
    7,956.66x = 33,021,052.46
  5. Step 5: Solve for x
    x = 33,021,052.46/7,956.66
  6. Step 6: Final answer
    x = 4,150.11

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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.