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Finding the Fourth Proportional to 7,778.16, 11,672.07 and 3,161.16

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Solution

The fourth proportional to 7,778.16, 11,672.07 and 3,161.16 is: 4,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.16 : 11,672.07 = 3,161.16 : x
  2. Step 2: Convert to fraction form
    7,778.16/11,672.07 = 3,161.16/x
  3. Step 3: Cross multiply
    7,778.16x = 11,672.07 × 3,161.16
  4. Step 4: Simplify right side
    7,778.16x = 36,897,280.80
  5. Step 5: Solve for x
    x = 36,897,280.80/7,778.16
  6. Step 6: Final answer
    x = 4,743.70

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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.