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Finding the Fourth Proportional to 8,518.14, 12,767.76 and 3,586.32

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Solution

The fourth proportional to 8,518.14, 12,767.76 and 3,586.32 is: 5,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.14 : 12,767.76 = 3,586.32 : x
  2. Step 2: Convert to fraction form
    8,518.14/12,767.76 = 3,586.32/x
  3. Step 3: Cross multiply
    8,518.14x = 12,767.76 × 3,586.32
  4. Step 4: Simplify right side
    8,518.14x = 45,789,273.04
  5. Step 5: Solve for x
    x = 45,789,273.04/8,518.14
  6. Step 6: Final answer
    x = 5,375.50

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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.