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Finding the Fourth Proportional to 8,054.30, 12,082.97 and 2,789.10

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Solution

The fourth proportional to 8,054.30, 12,082.97 and 2,789.10 is: 4,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.30 : 12,082.97 = 2,789.10 : x
  2. Step 2: Convert to fraction form
    8,054.30/12,082.97 = 2,789.10/x
  3. Step 3: Cross multiply
    8,054.30x = 12,082.97 × 2,789.10
  4. Step 4: Simplify right side
    8,054.30x = 33,700,618.60
  5. Step 5: Solve for x
    x = 33,700,618.60/8,054.30
  6. Step 6: Final answer
    x = 4,184.18

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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.