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Finding the Fourth Proportional to 11,213.60, 16,801.95 and 6,817.82

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Solution

The fourth proportional to 11,213.60, 16,801.95 and 6,817.82 is: 10,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.60 : 16,801.95 = 6,817.82 : x
  2. Step 2: Convert to fraction form
    11,213.60/16,801.95 = 6,817.82/x
  3. Step 3: Cross multiply
    11,213.60x = 16,801.95 × 6,817.82
  4. Step 4: Simplify right side
    11,213.60x = 114,552,670.75
  5. Step 5: Solve for x
    x = 114,552,670.75/11,213.60
  6. Step 6: Final answer
    x = 10,215.51

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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.