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Finding the Fourth Proportional to 7,770.76, 11,661.40 and 3,385.68

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Solution

The fourth proportional to 7,770.76, 11,661.40 and 3,385.68 is: 5,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.76 : 11,661.40 = 3,385.68 : x
  2. Step 2: Convert to fraction form
    7,770.76/11,661.40 = 3,385.68/x
  3. Step 3: Cross multiply
    7,770.76x = 11,661.40 × 3,385.68
  4. Step 4: Simplify right side
    7,770.76x = 39,481,768.75
  5. Step 5: Solve for x
    x = 39,481,768.75/7,770.76
  6. Step 6: Final answer
    x = 5,080.81

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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.