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Finding the Fourth Proportional to 8,724.29, 12,039.38 and 4,745.43

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Solution

The fourth proportional to 8,724.29, 12,039.38 and 4,745.43 is: 6,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.29 : 12,039.38 = 4,745.43 : x
  2. Step 2: Convert to fraction form
    8,724.29/12,039.38 = 4,745.43/x
  3. Step 3: Cross multiply
    8,724.29x = 12,039.38 × 4,745.43
  4. Step 4: Simplify right side
    8,724.29x = 57,132,011.31
  5. Step 5: Solve for x
    x = 57,132,011.31/8,724.29
  6. Step 6: Final answer
    x = 6,548.62

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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.