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Finding the Fourth Proportional to 7,649.26, 11,470.21 and 2,839.15

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Solution

The fourth proportional to 7,649.26, 11,470.21 and 2,839.15 is: 4,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.26 : 11,470.21 = 2,839.15 : x
  2. Step 2: Convert to fraction form
    7,649.26/11,470.21 = 2,839.15/x
  3. Step 3: Cross multiply
    7,649.26x = 11,470.21 × 2,839.15
  4. Step 4: Simplify right side
    7,649.26x = 32,565,653.96
  5. Step 5: Solve for x
    x = 32,565,653.96/7,649.26
  6. Step 6: Final answer
    x = 4,257.36

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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.