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Finding the Fourth Proportional to 7,649.22, 11,454.39 and 7,007.70

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Solution

The fourth proportional to 7,649.22, 11,454.39 and 7,007.70 is: 10,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.22 : 11,454.39 = 7,007.70 : x
  2. Step 2: Convert to fraction form
    7,649.22/11,454.39 = 7,007.70/x
  3. Step 3: Cross multiply
    7,649.22x = 11,454.39 × 7,007.70
  4. Step 4: Simplify right side
    7,649.22x = 80,268,928.80
  5. Step 5: Solve for x
    x = 80,268,928.80/7,649.22
  6. Step 6: Final answer
    x = 10,493.74

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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.