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Finding the Fourth Proportional to 11,617.43, 16,032.13 and 6,837.62

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Solution

The fourth proportional to 11,617.43, 16,032.13 and 6,837.62 is: 9,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.43 : 16,032.13 = 6,837.62 : x
  2. Step 2: Convert to fraction form
    11,617.43/16,032.13 = 6,837.62/x
  3. Step 3: Cross multiply
    11,617.43x = 16,032.13 × 6,837.62
  4. Step 4: Simplify right side
    11,617.43x = 109,621,515.48
  5. Step 5: Solve for x
    x = 109,621,515.48/11,617.43
  6. Step 6: Final answer
    x = 9,435.96

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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.