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Finding the Fourth Proportional to 7,778.41, 11,665.22 and 2,230.27

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Solution

The fourth proportional to 7,778.41, 11,665.22 and 2,230.27 is: 3,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.41 : 11,665.22 = 2,230.27 : x
  2. Step 2: Convert to fraction form
    7,778.41/11,665.22 = 2,230.27/x
  3. Step 3: Cross multiply
    7,778.41x = 11,665.22 × 2,230.27
  4. Step 4: Simplify right side
    7,778.41x = 26,016,590.21
  5. Step 5: Solve for x
    x = 26,016,590.21/7,778.41
  6. Step 6: Final answer
    x = 3,344.72

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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.