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Finding the Fourth Proportional to 8,305.22, 11,462.02 and 6,205.70

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Solution

The fourth proportional to 8,305.22, 11,462.02 and 6,205.70 is: 8,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.22 : 11,462.02 = 6,205.70 : x
  2. Step 2: Convert to fraction form
    8,305.22/11,462.02 = 6,205.70/x
  3. Step 3: Cross multiply
    8,305.22x = 11,462.02 × 6,205.70
  4. Step 4: Simplify right side
    8,305.22x = 71,129,857.51
  5. Step 5: Solve for x
    x = 71,129,857.51/8,305.22
  6. Step 6: Final answer
    x = 8,564.48

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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.