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Finding the Fourth Proportional to 7,265.75, 10,026.92 and 4,122.41

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Solution

The fourth proportional to 7,265.75, 10,026.92 and 4,122.41 is: 5,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.75 : 10,026.92 = 4,122.41 : x
  2. Step 2: Convert to fraction form
    7,265.75/10,026.92 = 4,122.41/x
  3. Step 3: Cross multiply
    7,265.75x = 10,026.92 × 4,122.41
  4. Step 4: Simplify right side
    7,265.75x = 41,335,035.45
  5. Step 5: Solve for x
    x = 41,335,035.45/7,265.75
  6. Step 6: Final answer
    x = 5,689.03

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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.