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Finding the Fourth Proportional to 11,141.43, 16,695.74 and 6,204.29

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Solution

The fourth proportional to 11,141.43, 16,695.74 and 6,204.29 is: 9,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.43 : 16,695.74 = 6,204.29 : x
  2. Step 2: Convert to fraction form
    11,141.43/16,695.74 = 6,204.29/x
  3. Step 3: Cross multiply
    11,141.43x = 16,695.74 × 6,204.29
  4. Step 4: Simplify right side
    11,141.43x = 103,585,098.22
  5. Step 5: Solve for x
    x = 103,585,098.22/11,141.43
  6. Step 6: Final answer
    x = 9,297.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.