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Finding the Fourth Proportional to 11,211.94, 15,471.86 and 6,175.17

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Solution

The fourth proportional to 11,211.94, 15,471.86 and 6,175.17 is: 8,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.94 : 15,471.86 = 6,175.17 : x
  2. Step 2: Convert to fraction form
    11,211.94/15,471.86 = 6,175.17/x
  3. Step 3: Cross multiply
    11,211.94x = 15,471.86 × 6,175.17
  4. Step 4: Simplify right side
    11,211.94x = 95,541,365.72
  5. Step 5: Solve for x
    x = 95,541,365.72/11,211.94
  6. Step 6: Final answer
    x = 8,521.39

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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.