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Finding the Fourth Proportional to 11,202.34, 16,805.95 and 3,410.95

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Solution

The fourth proportional to 11,202.34, 16,805.95 and 3,410.95 is: 5,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.34 : 16,805.95 = 3,410.95 : x
  2. Step 2: Convert to fraction form
    11,202.34/16,805.95 = 3,410.95/x
  3. Step 3: Cross multiply
    11,202.34x = 16,805.95 × 3,410.95
  4. Step 4: Simplify right side
    11,202.34x = 57,324,309.65
  5. Step 5: Solve for x
    x = 57,324,309.65/11,202.34
  6. Step 6: Final answer
    x = 5,117.17

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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.