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Finding the Fourth Proportional to 7,640.80, 10,549.38 and 5,869.24

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Solution

The fourth proportional to 7,640.80, 10,549.38 and 5,869.24 is: 8,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.80 : 10,549.38 = 5,869.24 : x
  2. Step 2: Convert to fraction form
    7,640.80/10,549.38 = 5,869.24/x
  3. Step 3: Cross multiply
    7,640.80x = 10,549.38 × 5,869.24
  4. Step 4: Simplify right side
    7,640.80x = 61,916,843.07
  5. Step 5: Solve for x
    x = 61,916,843.07/7,640.80
  6. Step 6: Final answer
    x = 8,103.45

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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.