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Finding the Fourth Proportional to 7,770.31, 11,655.83 and 2,224.45

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Solution

The fourth proportional to 7,770.31, 11,655.83 and 2,224.45 is: 3,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.31 : 11,655.83 = 2,224.45 : x
  2. Step 2: Convert to fraction form
    7,770.31/11,655.83 = 2,224.45/x
  3. Step 3: Cross multiply
    7,770.31x = 11,655.83 × 2,224.45
  4. Step 4: Simplify right side
    7,770.31x = 25,927,811.04
  5. Step 5: Solve for x
    x = 25,927,811.04/7,770.31
  6. Step 6: Final answer
    x = 3,336.78

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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.