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Finding the Fourth Proportional to 6,689.14, 10,028.22 and 2,526.78

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Solution

The fourth proportional to 6,689.14, 10,028.22 and 2,526.78 is: 3,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.14 : 10,028.22 = 2,526.78 : x
  2. Step 2: Convert to fraction form
    6,689.14/10,028.22 = 2,526.78/x
  3. Step 3: Cross multiply
    6,689.14x = 10,028.22 × 2,526.78
  4. Step 4: Simplify right side
    6,689.14x = 25,339,105.73
  5. Step 5: Solve for x
    x = 25,339,105.73/6,689.14
  6. Step 6: Final answer
    x = 3,788.10

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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.