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Finding the Fourth Proportional to 11,770.22, 16,253.31 and 8,007.36

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Solution

The fourth proportional to 11,770.22, 16,253.31 and 8,007.36 is: 11,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.22 : 16,253.31 = 8,007.36 : x
  2. Step 2: Convert to fraction form
    11,770.22/16,253.31 = 8,007.36/x
  3. Step 3: Cross multiply
    11,770.22x = 16,253.31 × 8,007.36
  4. Step 4: Simplify right side
    11,770.22x = 130,146,104.36
  5. Step 5: Solve for x
    x = 130,146,104.36/11,770.22
  6. Step 6: Final answer
    x = 11,057.24

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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.