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Finding the Fourth Proportional to 8,105.64, 12,160.08 and 2,559.50

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Solution

The fourth proportional to 8,105.64, 12,160.08 and 2,559.50 is: 3,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.64 : 12,160.08 = 2,559.50 : x
  2. Step 2: Convert to fraction form
    8,105.64/12,160.08 = 2,559.50/x
  3. Step 3: Cross multiply
    8,105.64x = 12,160.08 × 2,559.50
  4. Step 4: Simplify right side
    8,105.64x = 31,123,724.76
  5. Step 5: Solve for x
    x = 31,123,724.76/8,105.64
  6. Step 6: Final answer
    x = 3,839.76

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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.