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Finding the Fourth Proportional to 7,732.80, 11,598.12 and 2,538

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Solution

The fourth proportional to 7,732.80, 11,598.12 and 2,538 is: 3,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.80 : 11,598.12 = 2,538 : x
  2. Step 2: Convert to fraction form
    7,732.80/11,598.12 = 2,538/x
  3. Step 3: Cross multiply
    7,732.80x = 11,598.12 × 2,538
  4. Step 4: Simplify right side
    7,732.80x = 29,436,028.56
  5. Step 5: Solve for x
    x = 29,436,028.56/7,732.80
  6. Step 6: Final answer
    x = 3,806.65

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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.