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Finding the Fourth Proportional to 11,154.69, 16,734.46 and 4,229.19

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Solution

The fourth proportional to 11,154.69, 16,734.46 and 4,229.19 is: 6,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.69 : 16,734.46 = 4,229.19 : x
  2. Step 2: Convert to fraction form
    11,154.69/16,734.46 = 4,229.19/x
  3. Step 3: Cross multiply
    11,154.69x = 16,734.46 × 4,229.19
  4. Step 4: Simplify right side
    11,154.69x = 70,773,210.89
  5. Step 5: Solve for x
    x = 70,773,210.89/11,154.69
  6. Step 6: Final answer
    x = 6,344.70

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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.