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Finding the Fourth Proportional to 7,770.77, 11,657.16 and 2,842.73

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Solution

The fourth proportional to 7,770.77, 11,657.16 and 2,842.73 is: 4,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.77 : 11,657.16 = 2,842.73 : x
  2. Step 2: Convert to fraction form
    7,770.77/11,657.16 = 2,842.73/x
  3. Step 3: Cross multiply
    7,770.77x = 11,657.16 × 2,842.73
  4. Step 4: Simplify right side
    7,770.77x = 33,138,100.16
  5. Step 5: Solve for x
    x = 33,138,100.16/7,770.77
  6. Step 6: Final answer
    x = 4,264.46

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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.