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Finding the Fourth Proportional to 11,735.95, 16,194.03 and 6,699.85

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Solution

The fourth proportional to 11,735.95, 16,194.03 and 6,699.85 is: 9,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.95 : 16,194.03 = 6,699.85 : x
  2. Step 2: Convert to fraction form
    11,735.95/16,194.03 = 6,699.85/x
  3. Step 3: Cross multiply
    11,735.95x = 16,194.03 × 6,699.85
  4. Step 4: Simplify right side
    11,735.95x = 108,497,506.29
  5. Step 5: Solve for x
    x = 108,497,506.29/11,735.95
  6. Step 6: Final answer
    x = 9,244.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.