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Finding the Fourth Proportional to 11,206.34, 16,803.67 and 5,944.31

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Solution

The fourth proportional to 11,206.34, 16,803.67 and 5,944.31 is: 8,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.34 : 16,803.67 = 5,944.31 : x
  2. Step 2: Convert to fraction form
    11,206.34/16,803.67 = 5,944.31/x
  3. Step 3: Cross multiply
    11,206.34x = 16,803.67 × 5,944.31
  4. Step 4: Simplify right side
    11,206.34x = 99,886,223.62
  5. Step 5: Solve for x
    x = 99,886,223.62/11,206.34
  6. Step 6: Final answer
    x = 8,913.37

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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.