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Finding the Fourth Proportional to 8,147.68, 11,243.17 and 4,611.13

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Solution

The fourth proportional to 8,147.68, 11,243.17 and 4,611.13 is: 6,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.68 : 11,243.17 = 4,611.13 : x
  2. Step 2: Convert to fraction form
    8,147.68/11,243.17 = 4,611.13/x
  3. Step 3: Cross multiply
    8,147.68x = 11,243.17 × 4,611.13
  4. Step 4: Simplify right side
    8,147.68x = 51,843,706.95
  5. Step 5: Solve for x
    x = 51,843,706.95/8,147.68
  6. Step 6: Final answer
    x = 6,363.00

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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.