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Finding the Fourth Proportional to 8,202.93, 11,318.99 and 4,617.44

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Solution

The fourth proportional to 8,202.93, 11,318.99 and 4,617.44 is: 6,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.93 : 11,318.99 = 4,617.44 : x
  2. Step 2: Convert to fraction form
    8,202.93/11,318.99 = 4,617.44/x
  3. Step 3: Cross multiply
    8,202.93x = 11,318.99 × 4,617.44
  4. Step 4: Simplify right side
    8,202.93x = 52,264,677.50
  5. Step 5: Solve for x
    x = 52,264,677.50/8,202.93
  6. Step 6: Final answer
    x = 6,371.46

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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.