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Finding the Fourth Proportional to 8,097.81, 11,171.03 and 5,225.75

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Solution

The fourth proportional to 8,097.81, 11,171.03 and 5,225.75 is: 7,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.81 : 11,171.03 = 5,225.75 : x
  2. Step 2: Convert to fraction form
    8,097.81/11,171.03 = 5,225.75/x
  3. Step 3: Cross multiply
    8,097.81x = 11,171.03 × 5,225.75
  4. Step 4: Simplify right side
    8,097.81x = 58,377,010.02
  5. Step 5: Solve for x
    x = 58,377,010.02/8,097.81
  6. Step 6: Final answer
    x = 7,208.99

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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.