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Finding the Fourth Proportional to 8,305.67, 11,456.84 and 6,064.81

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Solution

The fourth proportional to 8,305.67, 11,456.84 and 6,064.81 is: 8,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.67 : 11,456.84 = 6,064.81 : x
  2. Step 2: Convert to fraction form
    8,305.67/11,456.84 = 6,064.81/x
  3. Step 3: Cross multiply
    8,305.67x = 11,456.84 × 6,064.81
  4. Step 4: Simplify right side
    8,305.67x = 69,483,544.32
  5. Step 5: Solve for x
    x = 69,483,544.32/8,305.67
  6. Step 6: Final answer
    x = 8,365.79

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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.