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Finding the Fourth Proportional to 10,993.50, 16,490.34 and 3,202.38

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Solution

The fourth proportional to 10,993.50, 16,490.34 and 3,202.38 is: 4,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.50 : 16,490.34 = 3,202.38 : x
  2. Step 2: Convert to fraction form
    10,993.50/16,490.34 = 3,202.38/x
  3. Step 3: Cross multiply
    10,993.50x = 16,490.34 × 3,202.38
  4. Step 4: Simplify right side
    10,993.50x = 52,808,335.01
  5. Step 5: Solve for x
    x = 52,808,335.01/10,993.50
  6. Step 6: Final answer
    x = 4,803.60

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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.