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Finding the Fourth Proportional to 7,640.33, 10,527.84 and 6,142.23

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Solution

The fourth proportional to 7,640.33, 10,527.84 and 6,142.23 is: 8,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.33 : 10,527.84 = 6,142.23 : x
  2. Step 2: Convert to fraction form
    7,640.33/10,527.84 = 6,142.23/x
  3. Step 3: Cross multiply
    7,640.33x = 10,527.84 × 6,142.23
  4. Step 4: Simplify right side
    7,640.33x = 64,664,414.68
  5. Step 5: Solve for x
    x = 64,664,414.68/7,640.33
  6. Step 6: Final answer
    x = 8,463.57

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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.