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Finding the Fourth Proportional to 7,791.50, 10,747.94 and 5,098.98

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Solution

The fourth proportional to 7,791.50, 10,747.94 and 5,098.98 is: 7,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.50 : 10,747.94 = 5,098.98 : x
  2. Step 2: Convert to fraction form
    7,791.50/10,747.94 = 5,098.98/x
  3. Step 3: Cross multiply
    7,791.50x = 10,747.94 × 5,098.98
  4. Step 4: Simplify right side
    7,791.50x = 54,803,531.10
  5. Step 5: Solve for x
    x = 54,803,531.10/7,791.50
  6. Step 6: Final answer
    x = 7,033.76

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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.