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Finding the Fourth Proportional to 8,209.65, 11,326.53 and 5,024.43

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Solution

The fourth proportional to 8,209.65, 11,326.53 and 5,024.43 is: 6,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.65 : 11,326.53 = 5,024.43 : x
  2. Step 2: Convert to fraction form
    8,209.65/11,326.53 = 5,024.43/x
  3. Step 3: Cross multiply
    8,209.65x = 11,326.53 × 5,024.43
  4. Step 4: Simplify right side
    8,209.65x = 56,909,375.97
  5. Step 5: Solve for x
    x = 56,909,375.97/8,209.65
  6. Step 6: Final answer
    x = 6,932.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.