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Finding the Fourth Proportional to 11,807.70, 17,716.34 and 4,414.28

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Solution

The fourth proportional to 11,807.70, 17,716.34 and 4,414.28 is: 6,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.70 : 17,716.34 = 4,414.28 : x
  2. Step 2: Convert to fraction form
    11,807.70/17,716.34 = 4,414.28/x
  3. Step 3: Cross multiply
    11,807.70x = 17,716.34 × 4,414.28
  4. Step 4: Simplify right side
    11,807.70x = 78,204,885.34
  5. Step 5: Solve for x
    x = 78,204,885.34/11,807.70
  6. Step 6: Final answer
    x = 6,623.21

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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.