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Finding the Fourth Proportional to 8,614.86, 12,911.86 and 3,928.45

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Solution

The fourth proportional to 8,614.86, 12,911.86 and 3,928.45 is: 5,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.86 : 12,911.86 = 3,928.45 : x
  2. Step 2: Convert to fraction form
    8,614.86/12,911.86 = 3,928.45/x
  3. Step 3: Cross multiply
    8,614.86x = 12,911.86 × 3,928.45
  4. Step 4: Simplify right side
    8,614.86x = 50,723,571.16
  5. Step 5: Solve for x
    x = 50,723,571.16/8,614.86
  6. Step 6: Final answer
    x = 5,887.92

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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.