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Finding the Fourth Proportional to 12,862.42, 17,737.10 and 7,821.73

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Solution

The fourth proportional to 12,862.42, 17,737.10 and 7,821.73 is: 10,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.42 : 17,737.10 = 7,821.73 : x
  2. Step 2: Convert to fraction form
    12,862.42/17,737.10 = 7,821.73/x
  3. Step 3: Cross multiply
    12,862.42x = 17,737.10 × 7,821.73
  4. Step 4: Simplify right side
    12,862.42x = 138,734,723.73
  5. Step 5: Solve for x
    x = 138,734,723.73/12,862.42
  6. Step 6: Final answer
    x = 10,786.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.