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Finding the Fourth Proportional to 7,735.92, 10,675.68 and 4,378.62

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Solution

The fourth proportional to 7,735.92, 10,675.68 and 4,378.62 is: 6,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.92 : 10,675.68 = 4,378.62 : x
  2. Step 2: Convert to fraction form
    7,735.92/10,675.68 = 4,378.62/x
  3. Step 3: Cross multiply
    7,735.92x = 10,675.68 × 4,378.62
  4. Step 4: Simplify right side
    7,735.92x = 46,744,745.96
  5. Step 5: Solve for x
    x = 46,744,745.96/7,735.92
  6. Step 6: Final answer
    x = 6,042.56

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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.