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Finding the Fourth Proportional to 8,097.36, 12,145.14 and 2,174.75

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Solution

The fourth proportional to 8,097.36, 12,145.14 and 2,174.75 is: 3,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.36 : 12,145.14 = 2,174.75 : x
  2. Step 2: Convert to fraction form
    8,097.36/12,145.14 = 2,174.75/x
  3. Step 3: Cross multiply
    8,097.36x = 12,145.14 × 2,174.75
  4. Step 4: Simplify right side
    8,097.36x = 26,412,582.49
  5. Step 5: Solve for x
    x = 26,412,582.49/8,097.36
  6. Step 6: Final answer
    x = 3,261.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.