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Finding the Fourth Proportional to 11,202.90, 16,789.95 and 6,815.70

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Solution

The fourth proportional to 11,202.90, 16,789.95 and 6,815.70 is: 10,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.90 : 16,789.95 = 6,815.70 : x
  2. Step 2: Convert to fraction form
    11,202.90/16,789.95 = 6,815.70/x
  3. Step 3: Cross multiply
    11,202.90x = 16,789.95 × 6,815.70
  4. Step 4: Simplify right side
    11,202.90x = 114,435,262.22
  5. Step 5: Solve for x
    x = 114,435,262.22/11,202.90
  6. Step 6: Final answer
    x = 10,214.79

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