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Finding the Fourth Proportional to 7,734.69, 10,673.72 and 4,377.44

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Solution

The fourth proportional to 7,734.69, 10,673.72 and 4,377.44 is: 6,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.69 : 10,673.72 = 4,377.44 : x
  2. Step 2: Convert to fraction form
    7,734.69/10,673.72 = 4,377.44/x
  3. Step 3: Cross multiply
    7,734.69x = 10,673.72 × 4,377.44
  4. Step 4: Simplify right side
    7,734.69x = 46,723,590.09
  5. Step 5: Solve for x
    x = 46,723,590.09/7,734.69
  6. Step 6: Final answer
    x = 6,040.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.