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Finding the Fourth Proportional to 7,561.86, 11,331.24 and 3,176.92

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Solution

The fourth proportional to 7,561.86, 11,331.24 and 3,176.92 is: 4,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.86 : 11,331.24 = 3,176.92 : x
  2. Step 2: Convert to fraction form
    7,561.86/11,331.24 = 3,176.92/x
  3. Step 3: Cross multiply
    7,561.86x = 11,331.24 × 3,176.92
  4. Step 4: Simplify right side
    7,561.86x = 35,998,442.98
  5. Step 5: Solve for x
    x = 35,998,442.98/7,561.86
  6. Step 6: Final answer
    x = 4,760.53

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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.