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Finding the Fourth Proportional to 8,524.31, 12,786.53 and 2,978.51

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Solution

The fourth proportional to 8,524.31, 12,786.53 and 2,978.51 is: 4,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.31 : 12,786.53 = 2,978.51 : x
  2. Step 2: Convert to fraction form
    8,524.31/12,786.53 = 2,978.51/x
  3. Step 3: Cross multiply
    8,524.31x = 12,786.53 × 2,978.51
  4. Step 4: Simplify right side
    8,524.31x = 38,084,728.65
  5. Step 5: Solve for x
    x = 38,084,728.65/8,524.31
  6. Step 6: Final answer
    x = 4,467.78

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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.