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Finding the Fourth Proportional to 10,919.65, 16,379.16 and 3,522.73

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Solution

The fourth proportional to 10,919.65, 16,379.16 and 3,522.73 is: 5,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.65 : 16,379.16 = 3,522.73 : x
  2. Step 2: Convert to fraction form
    10,919.65/16,379.16 = 3,522.73/x
  3. Step 3: Cross multiply
    10,919.65x = 16,379.16 × 3,522.73
  4. Step 4: Simplify right side
    10,919.65x = 57,699,358.31
  5. Step 5: Solve for x
    x = 57,699,358.31/10,919.65
  6. Step 6: Final answer
    x = 5,283.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.