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Finding the Fourth Proportional to 11,266.25, 15,542.03 and 7,288.61

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Solution

The fourth proportional to 11,266.25, 15,542.03 and 7,288.61 is: 10,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266.25 : 15,542.03 = 7,288.61 : x
  2. Step 2: Convert to fraction form
    11,266.25/15,542.03 = 7,288.61/x
  3. Step 3: Cross multiply
    11,266.25x = 15,542.03 × 7,288.61
  4. Step 4: Simplify right side
    11,266.25x = 113,279,758.84
  5. Step 5: Solve for x
    x = 113,279,758.84/11,266.25
  6. Step 6: Final answer
    x = 10,054.79

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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.