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Finding the Fourth Proportional to 8,524.64, 12,769.86 and 6,772.52

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Solution

The fourth proportional to 8,524.64, 12,769.86 and 6,772.52 is: 10,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.64 : 12,769.86 = 6,772.52 : x
  2. Step 2: Convert to fraction form
    8,524.64/12,769.86 = 6,772.52/x
  3. Step 3: Cross multiply
    8,524.64x = 12,769.86 × 6,772.52
  4. Step 4: Simplify right side
    8,524.64x = 86,484,132.25
  5. Step 5: Solve for x
    x = 86,484,132.25/8,524.64
  6. Step 6: Final answer
    x = 10,145.19

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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.