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Finding the Fourth Proportional to 11,770.77, 16,244.80 and 6,735.71

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Solution

The fourth proportional to 11,770.77, 16,244.80 and 6,735.71 is: 9,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.77 : 16,244.80 = 6,735.71 : x
  2. Step 2: Convert to fraction form
    11,770.77/16,244.80 = 6,735.71/x
  3. Step 3: Cross multiply
    11,770.77x = 16,244.80 × 6,735.71
  4. Step 4: Simplify right side
    11,770.77x = 109,420,232.09
  5. Step 5: Solve for x
    x = 109,420,232.09/11,770.77
  6. Step 6: Final answer
    x = 9,295.93

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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.