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Finding the Fourth Proportional to 7,772.62, 11,658.72 and 2,507.62

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Solution

The fourth proportional to 7,772.62, 11,658.72 and 2,507.62 is: 3,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.62 : 11,658.72 = 2,507.62 : x
  2. Step 2: Convert to fraction form
    7,772.62/11,658.72 = 2,507.62/x
  3. Step 3: Cross multiply
    7,772.62x = 11,658.72 × 2,507.62
  4. Step 4: Simplify right side
    7,772.62x = 29,235,639.45
  5. Step 5: Solve for x
    x = 29,235,639.45/7,772.62
  6. Step 6: Final answer
    x = 3,761.36

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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.