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Finding the Fourth Proportional to 8,266, 11,393.48 and 5,751.76

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Solution

The fourth proportional to 8,266, 11,393.48 and 5,751.76 is: 7,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266 : 11,393.48 = 5,751.76 : x
  2. Step 2: Convert to fraction form
    8,266/11,393.48 = 5,751.76/x
  3. Step 3: Cross multiply
    8,266x = 11,393.48 × 5,751.76
  4. Step 4: Simplify right side
    8,266x = 65,532,562.52
  5. Step 5: Solve for x
    x = 65,532,562.52/8,266
  6. Step 6: Final answer
    x = 7,927.97

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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.