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Finding the Fourth Proportional to 8,185.50, 11,297.97 and 4,650.66

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Solution

The fourth proportional to 8,185.50, 11,297.97 and 4,650.66 is: 6,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.50 : 11,297.97 = 4,650.66 : x
  2. Step 2: Convert to fraction form
    8,185.50/11,297.97 = 4,650.66/x
  3. Step 3: Cross multiply
    8,185.50x = 11,297.97 × 4,650.66
  4. Step 4: Simplify right side
    8,185.50x = 52,543,017.16
  5. Step 5: Solve for x
    x = 52,543,017.16/8,185.50
  6. Step 6: Final answer
    x = 6,419.04

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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.