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Finding the Fourth Proportional to 8,076.16, 11,164.98 and 8,002.24

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Solution

The fourth proportional to 8,076.16, 11,164.98 and 8,002.24 is: 11,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.16 : 11,164.98 = 8,002.24 : x
  2. Step 2: Convert to fraction form
    8,076.16/11,164.98 = 8,002.24/x
  3. Step 3: Cross multiply
    8,076.16x = 11,164.98 × 8,002.24
  4. Step 4: Simplify right side
    8,076.16x = 89,344,849.56
  5. Step 5: Solve for x
    x = 89,344,849.56/8,076.16
  6. Step 6: Final answer
    x = 11,062.79

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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.