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Finding the Fourth Proportional to 7,559.73, 10,432.14 and 4,202.38

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Solution

The fourth proportional to 7,559.73, 10,432.14 and 4,202.38 is: 5,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.73 : 10,432.14 = 4,202.38 : x
  2. Step 2: Convert to fraction form
    7,559.73/10,432.14 = 4,202.38/x
  3. Step 3: Cross multiply
    7,559.73x = 10,432.14 × 4,202.38
  4. Step 4: Simplify right side
    7,559.73x = 43,839,837.41
  5. Step 5: Solve for x
    x = 43,839,837.41/7,559.73
  6. Step 6: Final answer
    x = 5,799.13

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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.