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Finding the Fourth Proportional to 11,754.33, 17,631.36 and 5,909.64

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Solution

The fourth proportional to 11,754.33, 17,631.36 and 5,909.64 is: 8,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.33 : 17,631.36 = 5,909.64 : x
  2. Step 2: Convert to fraction form
    11,754.33/17,631.36 = 5,909.64/x
  3. Step 3: Cross multiply
    11,754.33x = 17,631.36 × 5,909.64
  4. Step 4: Simplify right side
    11,754.33x = 104,194,990.31
  5. Step 5: Solve for x
    x = 104,194,990.31/11,754.33
  6. Step 6: Final answer
    x = 8,864.39

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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.