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Finding the Fourth Proportional to 7,265.58, 10,027.44 and 4,122.78

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Solution

The fourth proportional to 7,265.58, 10,027.44 and 4,122.78 is: 5,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.58 : 10,027.44 = 4,122.78 : x
  2. Step 2: Convert to fraction form
    7,265.58/10,027.44 = 4,122.78/x
  3. Step 3: Cross multiply
    7,265.58x = 10,027.44 × 4,122.78
  4. Step 4: Simplify right side
    7,265.58x = 41,340,929.08
  5. Step 5: Solve for x
    x = 41,340,929.08/7,265.58
  6. Step 6: Final answer
    x = 5,689.97

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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.