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Finding the Fourth Proportional to 7,997.28, 11,033.28 and 5,641.44

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Solution

The fourth proportional to 7,997.28, 11,033.28 and 5,641.44 is: 7,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.28 : 11,033.28 = 5,641.44 : x
  2. Step 2: Convert to fraction form
    7,997.28/11,033.28 = 5,641.44/x
  3. Step 3: Cross multiply
    7,997.28x = 11,033.28 × 5,641.44
  4. Step 4: Simplify right side
    7,997.28x = 62,243,587.12
  5. Step 5: Solve for x
    x = 62,243,587.12/7,997.28
  6. Step 6: Final answer
    x = 7,783.09

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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.