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Finding the Fourth Proportional to 7,734.74, 10,673.82 and 4,378.19

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Solution

The fourth proportional to 7,734.74, 10,673.82 and 4,378.19 is: 6,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.74 : 10,673.82 = 4,378.19 : x
  2. Step 2: Convert to fraction form
    7,734.74/10,673.82 = 4,378.19/x
  3. Step 3: Cross multiply
    7,734.74x = 10,673.82 × 4,378.19
  4. Step 4: Simplify right side
    7,734.74x = 46,731,958.62
  5. Step 5: Solve for x
    x = 46,731,958.62/7,734.74
  6. Step 6: Final answer
    x = 6,041.83

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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.