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Finding the Fourth Proportional to 11,382.12, 15,706.84 and 8,396.88

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Solution

The fourth proportional to 11,382.12, 15,706.84 and 8,396.88 is: 11,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.12 : 15,706.84 = 8,396.88 : x
  2. Step 2: Convert to fraction form
    11,382.12/15,706.84 = 8,396.88/x
  3. Step 3: Cross multiply
    11,382.12x = 15,706.84 × 8,396.88
  4. Step 4: Simplify right side
    11,382.12x = 131,888,450.66
  5. Step 5: Solve for x
    x = 131,888,450.66/11,382.12
  6. Step 6: Final answer
    x = 11,587.34

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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.