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Finding the Fourth Proportional to 7,778.28, 11,674.44 and 5,671.80

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Solution

The fourth proportional to 7,778.28, 11,674.44 and 5,671.80 is: 8,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.28 : 11,674.44 = 5,671.80 : x
  2. Step 2: Convert to fraction form
    7,778.28/11,674.44 = 5,671.80/x
  3. Step 3: Cross multiply
    7,778.28x = 11,674.44 × 5,671.80
  4. Step 4: Simplify right side
    7,778.28x = 66,215,088.79
  5. Step 5: Solve for x
    x = 66,215,088.79/7,778.28
  6. Step 6: Final answer
    x = 8,512.82

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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.