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Finding the Fourth Proportional to 8,041, 12,061.42 and 2,197.62

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Solution

The fourth proportional to 8,041, 12,061.42 and 2,197.62 is: 3,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041 : 12,061.42 = 2,197.62 : x
  2. Step 2: Convert to fraction form
    8,041/12,061.42 = 2,197.62/x
  3. Step 3: Cross multiply
    8,041x = 12,061.42 × 2,197.62
  4. Step 4: Simplify right side
    8,041x = 26,506,417.82
  5. Step 5: Solve for x
    x = 26,506,417.82/8,041
  6. Step 6: Final answer
    x = 3,296.41

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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.