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Finding the Fourth Proportional to 11,211.81, 15,472.31 and 6,498.83

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Solution

The fourth proportional to 11,211.81, 15,472.31 and 6,498.83 is: 8,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.81 : 15,472.31 = 6,498.83 : x
  2. Step 2: Convert to fraction form
    11,211.81/15,472.31 = 6,498.83/x
  3. Step 3: Cross multiply
    11,211.81x = 15,472.31 × 6,498.83
  4. Step 4: Simplify right side
    11,211.81x = 100,551,912.40
  5. Step 5: Solve for x
    x = 100,551,912.40/11,211.81
  6. Step 6: Final answer
    x = 8,968.39

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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.