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Finding the Fourth Proportional to 8,134.88, 11,227.32 and 7,634.48

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Solution

The fourth proportional to 8,134.88, 11,227.32 and 7,634.48 is: 10,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.88 : 11,227.32 = 7,634.48 : x
  2. Step 2: Convert to fraction form
    8,134.88/11,227.32 = 7,634.48/x
  3. Step 3: Cross multiply
    8,134.88x = 11,227.32 × 7,634.48
  4. Step 4: Simplify right side
    8,134.88x = 85,714,749.99
  5. Step 5: Solve for x
    x = 85,714,749.99/8,134.88
  6. Step 6: Final answer
    x = 10,536.70

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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.