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Finding the Fourth Proportional to 7,693.67, 11,540.96 and 2,428.85

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Solution

The fourth proportional to 7,693.67, 11,540.96 and 2,428.85 is: 3,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.67 : 11,540.96 = 2,428.85 : x
  2. Step 2: Convert to fraction form
    7,693.67/11,540.96 = 2,428.85/x
  3. Step 3: Cross multiply
    7,693.67x = 11,540.96 × 2,428.85
  4. Step 4: Simplify right side
    7,693.67x = 28,031,260.70
  5. Step 5: Solve for x
    x = 28,031,260.70/7,693.67
  6. Step 6: Final answer
    x = 3,643.42

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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.