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Finding the Fourth Proportional to 7,674.80, 10,585.56 and 5,685.44

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Solution

The fourth proportional to 7,674.80, 10,585.56 and 5,685.44 is: 7,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.80 : 10,585.56 = 5,685.44 : x
  2. Step 2: Convert to fraction form
    7,674.80/10,585.56 = 5,685.44/x
  3. Step 3: Cross multiply
    7,674.80x = 10,585.56 × 5,685.44
  4. Step 4: Simplify right side
    7,674.80x = 60,183,566.25
  5. Step 5: Solve for x
    x = 60,183,566.25/7,674.80
  6. Step 6: Final answer
    x = 7,841.71

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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.