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Finding the Fourth Proportional to 8,052.66, 12,082.46 and 3,895.79

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Solution

The fourth proportional to 8,052.66, 12,082.46 and 3,895.79 is: 5,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.66 : 12,082.46 = 3,895.79 : x
  2. Step 2: Convert to fraction form
    8,052.66/12,082.46 = 3,895.79/x
  3. Step 3: Cross multiply
    8,052.66x = 12,082.46 × 3,895.79
  4. Step 4: Simplify right side
    8,052.66x = 47,070,646.95
  5. Step 5: Solve for x
    x = 47,070,646.95/8,052.66
  6. Step 6: Final answer
    x = 5,845.35

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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.