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Finding the Fourth Proportional to 8,324.82, 11,470.95 and 5,667.62

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Solution

The fourth proportional to 8,324.82, 11,470.95 and 5,667.62 is: 7,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.82 : 11,470.95 = 5,667.62 : x
  2. Step 2: Convert to fraction form
    8,324.82/11,470.95 = 5,667.62/x
  3. Step 3: Cross multiply
    8,324.82x = 11,470.95 × 5,667.62
  4. Step 4: Simplify right side
    8,324.82x = 65,012,985.64
  5. Step 5: Solve for x
    x = 65,012,985.64/8,324.82
  6. Step 6: Final answer
    x = 7,809.54

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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.