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Finding the Fourth Proportional to 7,452.54, 11,164.23 and 5,712.66

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Solution

The fourth proportional to 7,452.54, 11,164.23 and 5,712.66 is: 8,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.54 : 11,164.23 = 5,712.66 : x
  2. Step 2: Convert to fraction form
    7,452.54/11,164.23 = 5,712.66/x
  3. Step 3: Cross multiply
    7,452.54x = 11,164.23 × 5,712.66
  4. Step 4: Simplify right side
    7,452.54x = 63,777,450.15
  5. Step 5: Solve for x
    x = 63,777,450.15/7,452.54
  6. Step 6: Final answer
    x = 8,557.81

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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.