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Finding the Fourth Proportional to 8,162.72, 11,252.50 and 6,368.18

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Solution

The fourth proportional to 8,162.72, 11,252.50 and 6,368.18 is: 8,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.72 : 11,252.50 = 6,368.18 : x
  2. Step 2: Convert to fraction form
    8,162.72/11,252.50 = 6,368.18/x
  3. Step 3: Cross multiply
    8,162.72x = 11,252.50 × 6,368.18
  4. Step 4: Simplify right side
    8,162.72x = 71,657,945.45
  5. Step 5: Solve for x
    x = 71,657,945.45/8,162.72
  6. Step 6: Final answer
    x = 8,778.68

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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.