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Finding the Fourth Proportional to 8,614.86, 12,943.92 and 5,496.30

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Solution

The fourth proportional to 8,614.86, 12,943.92 and 5,496.30 is: 8,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.86 : 12,943.92 = 5,496.30 : x
  2. Step 2: Convert to fraction form
    8,614.86/12,943.92 = 5,496.30/x
  3. Step 3: Cross multiply
    8,614.86x = 12,943.92 × 5,496.30
  4. Step 4: Simplify right side
    8,614.86x = 71,143,667.50
  5. Step 5: Solve for x
    x = 71,143,667.50/8,614.86
  6. Step 6: Final answer
    x = 8,258.25

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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.