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Finding the Fourth Proportional to 7,770.24, 11,655.84 and 2,576.80

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Solution

The fourth proportional to 7,770.24, 11,655.84 and 2,576.80 is: 3,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.24 : 11,655.84 = 2,576.80 : x
  2. Step 2: Convert to fraction form
    7,770.24/11,655.84 = 2,576.80/x
  3. Step 3: Cross multiply
    7,770.24x = 11,655.84 × 2,576.80
  4. Step 4: Simplify right side
    7,770.24x = 30,034,768.51
  5. Step 5: Solve for x
    x = 30,034,768.51/7,770.24
  6. Step 6: Final answer
    x = 3,865.36

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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.