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Finding the Fourth Proportional to 8,097.08, 11,174.69 and 5,265.86

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Solution

The fourth proportional to 8,097.08, 11,174.69 and 5,265.86 is: 7,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.08 : 11,174.69 = 5,265.86 : x
  2. Step 2: Convert to fraction form
    8,097.08/11,174.69 = 5,265.86/x
  3. Step 3: Cross multiply
    8,097.08x = 11,174.69 × 5,265.86
  4. Step 4: Simplify right side
    8,097.08x = 58,844,310.37
  5. Step 5: Solve for x
    x = 58,844,310.37/8,097.08
  6. Step 6: Final answer
    x = 7,267.35

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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.