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Finding the Fourth Proportional to 11,415.31, 15,723.83 and 8,052.21

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Solution

The fourth proportional to 11,415.31, 15,723.83 and 8,052.21 is: 11,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.31 : 15,723.83 = 8,052.21 : x
  2. Step 2: Convert to fraction form
    11,415.31/15,723.83 = 8,052.21/x
  3. Step 3: Cross multiply
    11,415.31x = 15,723.83 × 8,052.21
  4. Step 4: Simplify right side
    11,415.31x = 126,611,581.16
  5. Step 5: Solve for x
    x = 126,611,581.16/11,415.31
  6. Step 6: Final answer
    x = 11,091.38

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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.