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Finding the Fourth Proportional to 8,586.56, 12,879.64 and 2,743.08

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Solution

The fourth proportional to 8,586.56, 12,879.64 and 2,743.08 is: 4,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.56 : 12,879.64 = 2,743.08 : x
  2. Step 2: Convert to fraction form
    8,586.56/12,879.64 = 2,743.08/x
  3. Step 3: Cross multiply
    8,586.56x = 12,879.64 × 2,743.08
  4. Step 4: Simplify right side
    8,586.56x = 35,329,882.89
  5. Step 5: Solve for x
    x = 35,329,882.89/8,586.56
  6. Step 6: Final answer
    x = 4,114.56

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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.