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Finding the Fourth Proportional to 12,868.06, 17,757.99 and 7,278.94

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Solution

The fourth proportional to 12,868.06, 17,757.99 and 7,278.94 is: 10,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.06 : 17,757.99 = 7,278.94 : x
  2. Step 2: Convert to fraction form
    12,868.06/17,757.99 = 7,278.94/x
  3. Step 3: Cross multiply
    12,868.06x = 17,757.99 × 7,278.94
  4. Step 4: Simplify right side
    12,868.06x = 129,259,343.73
  5. Step 5: Solve for x
    x = 129,259,343.73/12,868.06
  6. Step 6: Final answer
    x = 10,044.98

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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.