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Finding the Fourth Proportional to 8,139.80, 12,205.66 and 2,592.42

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Solution

The fourth proportional to 8,139.80, 12,205.66 and 2,592.42 is: 3,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.80 : 12,205.66 = 2,592.42 : x
  2. Step 2: Convert to fraction form
    8,139.80/12,205.66 = 2,592.42/x
  3. Step 3: Cross multiply
    8,139.80x = 12,205.66 × 2,592.42
  4. Step 4: Simplify right side
    8,139.80x = 31,642,197.10
  5. Step 5: Solve for x
    x = 31,642,197.10/8,139.80
  6. Step 6: Final answer
    x = 3,887.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.