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Finding the Fourth Proportional to 7,770.64, 11,657.58 and 2,576.11

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Solution

The fourth proportional to 7,770.64, 11,657.58 and 2,576.11 is: 3,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.64 : 11,657.58 = 2,576.11 : x
  2. Step 2: Convert to fraction form
    7,770.64/11,657.58 = 2,576.11/x
  3. Step 3: Cross multiply
    7,770.64x = 11,657.58 × 2,576.11
  4. Step 4: Simplify right side
    7,770.64x = 30,031,205.96
  5. Step 5: Solve for x
    x = 30,031,205.96/7,770.64
  6. Step 6: Final answer
    x = 3,864.70

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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.