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Finding the Fourth Proportional to 11,132, 16,699.68 and 3,632.96

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Solution

The fourth proportional to 11,132, 16,699.68 and 3,632.96 is: 5,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132 : 16,699.68 = 3,632.96 : x
  2. Step 2: Convert to fraction form
    11,132/16,699.68 = 3,632.96/x
  3. Step 3: Cross multiply
    11,132x = 16,699.68 × 3,632.96
  4. Step 4: Simplify right side
    11,132x = 60,669,269.45
  5. Step 5: Solve for x
    x = 60,669,269.45/11,132
  6. Step 6: Final answer
    x = 5,449.99

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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.