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Finding the Fourth Proportional to 10,226.62, 14,104.28 and 7,211.78

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Solution

The fourth proportional to 10,226.62, 14,104.28 and 7,211.78 is: 9,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.62 : 14,104.28 = 7,211.78 : x
  2. Step 2: Convert to fraction form
    10,226.62/14,104.28 = 7,211.78/x
  3. Step 3: Cross multiply
    10,226.62x = 14,104.28 × 7,211.78
  4. Step 4: Simplify right side
    10,226.62x = 101,716,911.93
  5. Step 5: Solve for x
    x = 101,716,911.93/10,226.62
  6. Step 6: Final answer
    x = 9,946.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.