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Finding the Fourth Proportional to 7,578.90, 11,364.71 and 2,648.43

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Solution

The fourth proportional to 7,578.90, 11,364.71 and 2,648.43 is: 3,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.90 : 11,364.71 = 2,648.43 : x
  2. Step 2: Convert to fraction form
    7,578.90/11,364.71 = 2,648.43/x
  3. Step 3: Cross multiply
    7,578.90x = 11,364.71 × 2,648.43
  4. Step 4: Simplify right side
    7,578.90x = 30,098,625.66
  5. Step 5: Solve for x
    x = 30,098,625.66/7,578.90
  6. Step 6: Final answer
    x = 3,971.37

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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.