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Finding the Fourth Proportional to 11,153.69, 16,732.96 and 4,228.19

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Solution

The fourth proportional to 11,153.69, 16,732.96 and 4,228.19 is: 6,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.69 : 16,732.96 = 4,228.19 : x
  2. Step 2: Convert to fraction form
    11,153.69/16,732.96 = 4,228.19/x
  3. Step 3: Cross multiply
    11,153.69x = 16,732.96 × 4,228.19
  4. Step 4: Simplify right side
    11,153.69x = 70,750,134.14
  5. Step 5: Solve for x
    x = 70,750,134.14/11,153.69
  6. Step 6: Final answer
    x = 6,343.20

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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.