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Finding the Fourth Proportional to 11,101.20, 16,652 and 6,202.02

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Solution

The fourth proportional to 11,101.20, 16,652 and 6,202.02 is: 9,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101.20 : 16,652 = 6,202.02 : x
  2. Step 2: Convert to fraction form
    11,101.20/16,652 = 6,202.02/x
  3. Step 3: Cross multiply
    11,101.20x = 16,652 × 6,202.02
  4. Step 4: Simplify right side
    11,101.20x = 103,276,037.04
  5. Step 5: Solve for x
    x = 103,276,037.04/11,101.20
  6. Step 6: Final answer
    x = 9,303.14

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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.