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Finding the Fourth Proportional to 7,564.92, 11,349.18 and 2,370.78

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Solution

The fourth proportional to 7,564.92, 11,349.18 and 2,370.78 is: 3,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.92 : 11,349.18 = 2,370.78 : x
  2. Step 2: Convert to fraction form
    7,564.92/11,349.18 = 2,370.78/x
  3. Step 3: Cross multiply
    7,564.92x = 11,349.18 × 2,370.78
  4. Step 4: Simplify right side
    7,564.92x = 26,906,408.96
  5. Step 5: Solve for x
    x = 26,906,408.96/7,564.92
  6. Step 6: Final answer
    x = 3,556.73

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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.