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Finding the Fourth Proportional to 7,578.09, 11,367.14 and 2,649.14

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Solution

The fourth proportional to 7,578.09, 11,367.14 and 2,649.14 is: 3,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.09 : 11,367.14 = 2,649.14 : x
  2. Step 2: Convert to fraction form
    7,578.09/11,367.14 = 2,649.14/x
  3. Step 3: Cross multiply
    7,578.09x = 11,367.14 × 2,649.14
  4. Step 4: Simplify right side
    7,578.09x = 30,113,117.80
  5. Step 5: Solve for x
    x = 30,113,117.80/7,578.09
  6. Step 6: Final answer
    x = 3,973.71

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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.