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Finding the Fourth Proportional to 8,232.50, 12,341.46 and 6,149.99

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Solution

The fourth proportional to 8,232.50, 12,341.46 and 6,149.99 is: 9,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.50 : 12,341.46 = 6,149.99 : x
  2. Step 2: Convert to fraction form
    8,232.50/12,341.46 = 6,149.99/x
  3. Step 3: Cross multiply
    8,232.50x = 12,341.46 × 6,149.99
  4. Step 4: Simplify right side
    8,232.50x = 75,899,909.50
  5. Step 5: Solve for x
    x = 75,899,909.50/8,232.50
  6. Step 6: Final answer
    x = 9,219.54

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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.