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Finding the Fourth Proportional to 8,097.75, 11,178.54 and 6,005.52

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Solution

The fourth proportional to 8,097.75, 11,178.54 and 6,005.52 is: 8,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.75 : 11,178.54 = 6,005.52 : x
  2. Step 2: Convert to fraction form
    8,097.75/11,178.54 = 6,005.52/x
  3. Step 3: Cross multiply
    8,097.75x = 11,178.54 × 6,005.52
  4. Step 4: Simplify right side
    8,097.75x = 67,132,945.54
  5. Step 5: Solve for x
    x = 67,132,945.54/8,097.75
  6. Step 6: Final answer
    x = 8,290.32

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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.