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Finding the Fourth Proportional to 7,778.44, 11,671.11 and 4,079.80

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Solution

The fourth proportional to 7,778.44, 11,671.11 and 4,079.80 is: 6,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.44 : 11,671.11 = 4,079.80 : x
  2. Step 2: Convert to fraction form
    7,778.44/11,671.11 = 4,079.80/x
  3. Step 3: Cross multiply
    7,778.44x = 11,671.11 × 4,079.80
  4. Step 4: Simplify right side
    7,778.44x = 47,615,794.58
  5. Step 5: Solve for x
    x = 47,615,794.58/7,778.44
  6. Step 6: Final answer
    x = 6,121.51

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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.