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Finding the Fourth Proportional to 11,613.50, 16,026.63 and 6,645.50

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Solution

The fourth proportional to 11,613.50, 16,026.63 and 6,645.50 is: 9,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.50 : 16,026.63 = 6,645.50 : x
  2. Step 2: Convert to fraction form
    11,613.50/16,026.63 = 6,645.50/x
  3. Step 3: Cross multiply
    11,613.50x = 16,026.63 × 6,645.50
  4. Step 4: Simplify right side
    11,613.50x = 106,504,969.67
  5. Step 5: Solve for x
    x = 106,504,969.67/11,613.50
  6. Step 6: Final answer
    x = 9,170.79

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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.