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Finding the Fourth Proportional to 8,097.28, 11,174.14 and 4,560.84

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Solution

The fourth proportional to 8,097.28, 11,174.14 and 4,560.84 is: 6,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.28 : 11,174.14 = 4,560.84 : x
  2. Step 2: Convert to fraction form
    8,097.28/11,174.14 = 4,560.84/x
  3. Step 3: Cross multiply
    8,097.28x = 11,174.14 × 4,560.84
  4. Step 4: Simplify right side
    8,097.28x = 50,963,464.68
  5. Step 5: Solve for x
    x = 50,963,464.68/8,097.28
  6. Step 6: Final answer
    x = 6,293.90

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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.