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Finding the Fourth Proportional to 7,452.80, 10,283.65 and 4,308.38

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Solution

The fourth proportional to 7,452.80, 10,283.65 and 4,308.38 is: 5,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.80 : 10,283.65 = 4,308.38 : x
  2. Step 2: Convert to fraction form
    7,452.80/10,283.65 = 4,308.38/x
  3. Step 3: Cross multiply
    7,452.80x = 10,283.65 × 4,308.38
  4. Step 4: Simplify right side
    7,452.80x = 44,305,809.80
  5. Step 5: Solve for x
    x = 44,305,809.80/7,452.80
  6. Step 6: Final answer
    x = 5,944.86

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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.