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Finding the Fourth Proportional to 8,177.66, 11,285.46 and 5,791.94

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Solution

The fourth proportional to 8,177.66, 11,285.46 and 5,791.94 is: 7,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.66 : 11,285.46 = 5,791.94 : x
  2. Step 2: Convert to fraction form
    8,177.66/11,285.46 = 5,791.94/x
  3. Step 3: Cross multiply
    8,177.66x = 11,285.46 × 5,791.94
  4. Step 4: Simplify right side
    8,177.66x = 65,364,707.19
  5. Step 5: Solve for x
    x = 65,364,707.19/8,177.66
  6. Step 6: Final answer
    x = 7,993.08

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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.