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Finding the Fourth Proportional to 8,243.90, 11,377.13 and 4,657.61

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Solution

The fourth proportional to 8,243.90, 11,377.13 and 4,657.61 is: 6,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.90 : 11,377.13 = 4,657.61 : x
  2. Step 2: Convert to fraction form
    8,243.90/11,377.13 = 4,657.61/x
  3. Step 3: Cross multiply
    8,243.90x = 11,377.13 × 4,657.61
  4. Step 4: Simplify right side
    8,243.90x = 52,990,231.88
  5. Step 5: Solve for x
    x = 52,990,231.88/8,243.90
  6. Step 6: Final answer
    x = 6,427.81

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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.