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Finding the Fourth Proportional to 8,811.82, 13,217.70 and 2,237.98

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Solution

The fourth proportional to 8,811.82, 13,217.70 and 2,237.98 is: 3,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.82 : 13,217.70 = 2,237.98 : x
  2. Step 2: Convert to fraction form
    8,811.82/13,217.70 = 2,237.98/x
  3. Step 3: Cross multiply
    8,811.82x = 13,217.70 × 2,237.98
  4. Step 4: Simplify right side
    8,811.82x = 29,580,948.25
  5. Step 5: Solve for x
    x = 29,580,948.25/8,811.82
  6. Step 6: Final answer
    x = 3,356.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.