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Finding the Fourth Proportional to 7,432.82, 10,257.48 and 4,202.39

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Solution

The fourth proportional to 7,432.82, 10,257.48 and 4,202.39 is: 5,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.82 : 10,257.48 = 4,202.39 : x
  2. Step 2: Convert to fraction form
    7,432.82/10,257.48 = 4,202.39/x
  3. Step 3: Cross multiply
    7,432.82x = 10,257.48 × 4,202.39
  4. Step 4: Simplify right side
    7,432.82x = 43,105,880.09
  5. Step 5: Solve for x
    x = 43,105,880.09/7,432.82
  6. Step 6: Final answer
    x = 5,799.40

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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.