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Finding the Fourth Proportional to 7,638.92, 10,542.14 and 4,282.82

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Solution

The fourth proportional to 7,638.92, 10,542.14 and 4,282.82 is: 5,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.92 : 10,542.14 = 4,282.82 : x
  2. Step 2: Convert to fraction form
    7,638.92/10,542.14 = 4,282.82/x
  3. Step 3: Cross multiply
    7,638.92x = 10,542.14 × 4,282.82
  4. Step 4: Simplify right side
    7,638.92x = 45,150,088.03
  5. Step 5: Solve for x
    x = 45,150,088.03/7,638.92
  6. Step 6: Final answer
    x = 5,910.53

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