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Finding the Fourth Proportional to 8,727.24, 12,043.38 and 5,001

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Solution

The fourth proportional to 8,727.24, 12,043.38 and 5,001 is: 6,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.24 : 12,043.38 = 5,001 : x
  2. Step 2: Convert to fraction form
    8,727.24/12,043.38 = 5,001/x
  3. Step 3: Cross multiply
    8,727.24x = 12,043.38 × 5,001
  4. Step 4: Simplify right side
    8,727.24x = 60,228,943.38
  5. Step 5: Solve for x
    x = 60,228,943.38/8,727.24
  6. Step 6: Final answer
    x = 6,901.26

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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.