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Finding the Fourth Proportional to 11,016.20, 15,203.22 and 6,302

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Solution

The fourth proportional to 11,016.20, 15,203.22 and 6,302 is: 8,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.20 : 15,203.22 = 6,302 : x
  2. Step 2: Convert to fraction form
    11,016.20/15,203.22 = 6,302/x
  3. Step 3: Cross multiply
    11,016.20x = 15,203.22 × 6,302
  4. Step 4: Simplify right side
    11,016.20x = 95,810,692.44
  5. Step 5: Solve for x
    x = 95,810,692.44/11,016.20
  6. Step 6: Final answer
    x = 8,697.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.