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Finding the Fourth Proportional to 8,133.16, 11,198.10 and 7,174.94

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Solution

The fourth proportional to 8,133.16, 11,198.10 and 7,174.94 is: 9,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.16 : 11,198.10 = 7,174.94 : x
  2. Step 2: Convert to fraction form
    8,133.16/11,198.10 = 7,174.94/x
  3. Step 3: Cross multiply
    8,133.16x = 11,198.10 × 7,174.94
  4. Step 4: Simplify right side
    8,133.16x = 80,345,695.61
  5. Step 5: Solve for x
    x = 80,345,695.61/8,133.16
  6. Step 6: Final answer
    x = 9,878.78

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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.