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Finding the Fourth Proportional to 7,744.57, 10,690.29 and 4,600.75

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Solution

The fourth proportional to 7,744.57, 10,690.29 and 4,600.75 is: 6,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.57 : 10,690.29 = 4,600.75 : x
  2. Step 2: Convert to fraction form
    7,744.57/10,690.29 = 4,600.75/x
  3. Step 3: Cross multiply
    7,744.57x = 10,690.29 × 4,600.75
  4. Step 4: Simplify right side
    7,744.57x = 49,183,351.72
  5. Step 5: Solve for x
    x = 49,183,351.72/7,744.57
  6. Step 6: Final answer
    x = 6,350.69

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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.