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Finding the Fourth Proportional to 7,640.56, 10,544.25 and 4,283.38

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Solution

The fourth proportional to 7,640.56, 10,544.25 and 4,283.38 is: 5,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.56 : 10,544.25 = 4,283.38 : x
  2. Step 2: Convert to fraction form
    7,640.56/10,544.25 = 4,283.38/x
  3. Step 3: Cross multiply
    7,640.56x = 10,544.25 × 4,283.38
  4. Step 4: Simplify right side
    7,640.56x = 45,165,029.57
  5. Step 5: Solve for x
    x = 45,165,029.57/7,640.56
  6. Step 6: Final answer
    x = 5,911.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.