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Finding the Fourth Proportional to 7,770.67, 11,655.99 and 2,576.54

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Solution

The fourth proportional to 7,770.67, 11,655.99 and 2,576.54 is: 3,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.67 : 11,655.99 = 2,576.54 : x
  2. Step 2: Convert to fraction form
    7,770.67/11,655.99 = 2,576.54/x
  3. Step 3: Cross multiply
    7,770.67x = 11,655.99 × 2,576.54
  4. Step 4: Simplify right side
    7,770.67x = 30,032,153.61
  5. Step 5: Solve for x
    x = 30,032,153.61/7,770.67
  6. Step 6: Final answer
    x = 3,864.81

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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.