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Finding the Fourth Proportional to 8,197.84, 11,299.80 and 5,544.28

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Solution

The fourth proportional to 8,197.84, 11,299.80 and 5,544.28 is: 7,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.84 : 11,299.80 = 5,544.28 : x
  2. Step 2: Convert to fraction form
    8,197.84/11,299.80 = 5,544.28/x
  3. Step 3: Cross multiply
    8,197.84x = 11,299.80 × 5,544.28
  4. Step 4: Simplify right side
    8,197.84x = 62,649,255.14
  5. Step 5: Solve for x
    x = 62,649,255.14/8,197.84
  6. Step 6: Final answer
    x = 7,642.17

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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.