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Finding the Fourth Proportional to 8,256.17, 11,394.87 and 5,273.48

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Solution

The fourth proportional to 8,256.17, 11,394.87 and 5,273.48 is: 7,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.17 : 11,394.87 = 5,273.48 : x
  2. Step 2: Convert to fraction form
    8,256.17/11,394.87 = 5,273.48/x
  3. Step 3: Cross multiply
    8,256.17x = 11,394.87 × 5,273.48
  4. Step 4: Simplify right side
    8,256.17x = 60,090,619.05
  5. Step 5: Solve for x
    x = 60,090,619.05/8,256.17
  6. Step 6: Final answer
    x = 7,278.27

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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.