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Finding the Fourth Proportional to 7,198.16, 9,933.05 and 4,011.26

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Solution

The fourth proportional to 7,198.16, 9,933.05 and 4,011.26 is: 5,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.16 : 9,933.05 = 4,011.26 : x
  2. Step 2: Convert to fraction form
    7,198.16/9,933.05 = 4,011.26/x
  3. Step 3: Cross multiply
    7,198.16x = 9,933.05 × 4,011.26
  4. Step 4: Simplify right side
    7,198.16x = 39,844,081.00
  5. Step 5: Solve for x
    x = 39,844,081.00/7,198.16
  6. Step 6: Final answer
    x = 5,535.32

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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.