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Finding the Fourth Proportional to 7,190.76, 9,919.94 and 5,198.16

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Solution

The fourth proportional to 7,190.76, 9,919.94 and 5,198.16 is: 7,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.76 : 9,919.94 = 5,198.16 : x
  2. Step 2: Convert to fraction form
    7,190.76/9,919.94 = 5,198.16/x
  3. Step 3: Cross multiply
    7,190.76x = 9,919.94 × 5,198.16
  4. Step 4: Simplify right side
    7,190.76x = 51,565,435.31
  5. Step 5: Solve for x
    x = 51,565,435.31/7,190.76
  6. Step 6: Final answer
    x = 7,171.07

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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.