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Finding the Fourth Proportional to 11,043, 16,566.32 and 3,647.88

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Solution

The fourth proportional to 11,043, 16,566.32 and 3,647.88 is: 5,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043 : 16,566.32 = 3,647.88 : x
  2. Step 2: Convert to fraction form
    11,043/16,566.32 = 3,647.88/x
  3. Step 3: Cross multiply
    11,043x = 16,566.32 × 3,647.88
  4. Step 4: Simplify right side
    11,043x = 60,431,947.40
  5. Step 5: Solve for x
    x = 60,431,947.40/11,043
  6. Step 6: Final answer
    x = 5,472.42

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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.