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Finding the Fourth Proportional to 7,489.26, 11,219.72 and 4,204.71

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Solution

The fourth proportional to 7,489.26, 11,219.72 and 4,204.71 is: 6,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.26 : 11,219.72 = 4,204.71 : x
  2. Step 2: Convert to fraction form
    7,489.26/11,219.72 = 4,204.71/x
  3. Step 3: Cross multiply
    7,489.26x = 11,219.72 × 4,204.71
  4. Step 4: Simplify right side
    7,489.26x = 47,175,647.86
  5. Step 5: Solve for x
    x = 47,175,647.86/7,489.26
  6. Step 6: Final answer
    x = 6,299.11

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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.