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Finding the Fourth Proportional to 7,794.23, 11,672.91 and 5,565.92

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Solution

The fourth proportional to 7,794.23, 11,672.91 and 5,565.92 is: 8,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.23 : 11,672.91 = 5,565.92 : x
  2. Step 2: Convert to fraction form
    7,794.23/11,672.91 = 5,565.92/x
  3. Step 3: Cross multiply
    7,794.23x = 11,672.91 × 5,565.92
  4. Step 4: Simplify right side
    7,794.23x = 64,970,424.86
  5. Step 5: Solve for x
    x = 64,970,424.86/7,794.23
  6. Step 6: Final answer
    x = 8,335.71

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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.