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Finding the Fourth Proportional to 7,182.91, 9,911.50 and 4,198.15

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Solution

The fourth proportional to 7,182.91, 9,911.50 and 4,198.15 is: 5,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.91 : 9,911.50 = 4,198.15 : x
  2. Step 2: Convert to fraction form
    7,182.91/9,911.50 = 4,198.15/x
  3. Step 3: Cross multiply
    7,182.91x = 9,911.50 × 4,198.15
  4. Step 4: Simplify right side
    7,182.91x = 41,609,963.73
  5. Step 5: Solve for x
    x = 41,609,963.73/7,182.91
  6. Step 6: Final answer
    x = 5,792.91

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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.