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Finding the Fourth Proportional to 6,791.81, 10,166.39 and 4,671.06

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Solution

The fourth proportional to 6,791.81, 10,166.39 and 4,671.06 is: 6,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.81 : 10,166.39 = 4,671.06 : x
  2. Step 2: Convert to fraction form
    6,791.81/10,166.39 = 4,671.06/x
  3. Step 3: Cross multiply
    6,791.81x = 10,166.39 × 4,671.06
  4. Step 4: Simplify right side
    6,791.81x = 47,487,817.67
  5. Step 5: Solve for x
    x = 47,487,817.67/6,791.81
  6. Step 6: Final answer
    x = 6,991.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.