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Finding the Fourth Proportional to 11,323.89, 16,985.84 and 3,533.31

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Solution

The fourth proportional to 11,323.89, 16,985.84 and 3,533.31 is: 5,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.89 : 16,985.84 = 3,533.31 : x
  2. Step 2: Convert to fraction form
    11,323.89/16,985.84 = 3,533.31/x
  3. Step 3: Cross multiply
    11,323.89x = 16,985.84 × 3,533.31
  4. Step 4: Simplify right side
    11,323.89x = 60,016,220.66
  5. Step 5: Solve for x
    x = 60,016,220.66/11,323.89
  6. Step 6: Final answer
    x = 5,299.97

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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.