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Finding the Fourth Proportional to 8,041.75, 12,061.14 and 2,197.60

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Solution

The fourth proportional to 8,041.75, 12,061.14 and 2,197.60 is: 3,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.75 : 12,061.14 = 2,197.60 : x
  2. Step 2: Convert to fraction form
    8,041.75/12,061.14 = 2,197.60/x
  3. Step 3: Cross multiply
    8,041.75x = 12,061.14 × 2,197.60
  4. Step 4: Simplify right side
    8,041.75x = 26,505,561.26
  5. Step 5: Solve for x
    x = 26,505,561.26/8,041.75
  6. Step 6: Final answer
    x = 3,295.99

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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.