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Finding the Fourth Proportional to 7,662, 11,490.66 and 2,730.96

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Solution

The fourth proportional to 7,662, 11,490.66 and 2,730.96 is: 4,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662 : 11,490.66 = 2,730.96 : x
  2. Step 2: Convert to fraction form
    7,662/11,490.66 = 2,730.96/x
  3. Step 3: Cross multiply
    7,662x = 11,490.66 × 2,730.96
  4. Step 4: Simplify right side
    7,662x = 31,380,532.83
  5. Step 5: Solve for x
    x = 31,380,532.83/7,662
  6. Step 6: Final answer
    x = 4,095.61

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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.