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Finding the Fourth Proportional to 11,021.92, 15,210.38 and 5,986.20

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Solution

The fourth proportional to 11,021.92, 15,210.38 and 5,986.20 is: 8,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.92 : 15,210.38 = 5,986.20 : x
  2. Step 2: Convert to fraction form
    11,021.92/15,210.38 = 5,986.20/x
  3. Step 3: Cross multiply
    11,021.92x = 15,210.38 × 5,986.20
  4. Step 4: Simplify right side
    11,021.92x = 91,052,376.76
  5. Step 5: Solve for x
    x = 91,052,376.76/11,021.92
  6. Step 6: Final answer
    x = 8,261.03

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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.