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Finding the Fourth Proportional to 10,894.29, 16,343.69 and 3,397.65

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Solution

The fourth proportional to 10,894.29, 16,343.69 and 3,397.65 is: 5,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.29 : 16,343.69 = 3,397.65 : x
  2. Step 2: Convert to fraction form
    10,894.29/16,343.69 = 3,397.65/x
  3. Step 3: Cross multiply
    10,894.29x = 16,343.69 × 3,397.65
  4. Step 4: Simplify right side
    10,894.29x = 55,530,121.34
  5. Step 5: Solve for x
    x = 55,530,121.34/10,894.29
  6. Step 6: Final answer
    x = 5,097.18

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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.