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Finding the Fourth Proportional to 8,066, 12,101.88 and 3,964.88

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Solution

The fourth proportional to 8,066, 12,101.88 and 3,964.88 is: 5,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066 : 12,101.88 = 3,964.88 : x
  2. Step 2: Convert to fraction form
    8,066/12,101.88 = 3,964.88/x
  3. Step 3: Cross multiply
    8,066x = 12,101.88 × 3,964.88
  4. Step 4: Simplify right side
    8,066x = 47,982,501.97
  5. Step 5: Solve for x
    x = 47,982,501.97/8,066
  6. Step 6: Final answer
    x = 5,948.74

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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.