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Finding the Fourth Proportional to 7,675.69, 11,514.56 and 2,744.69

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Solution

The fourth proportional to 7,675.69, 11,514.56 and 2,744.69 is: 4,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.69 : 11,514.56 = 2,744.69 : x
  2. Step 2: Convert to fraction form
    7,675.69/11,514.56 = 2,744.69/x
  3. Step 3: Cross multiply
    7,675.69x = 11,514.56 × 2,744.69
  4. Step 4: Simplify right side
    7,675.69x = 31,603,826.39
  5. Step 5: Solve for x
    x = 31,603,826.39/7,675.69
  6. Step 6: Final answer
    x = 4,117.39

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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.