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Finding the Fourth Proportional to 7,687.78, 11,530.40 and 2,141.69

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Solution

The fourth proportional to 7,687.78, 11,530.40 and 2,141.69 is: 3,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.78 : 11,530.40 = 2,141.69 : x
  2. Step 2: Convert to fraction form
    7,687.78/11,530.40 = 2,141.69/x
  3. Step 3: Cross multiply
    7,687.78x = 11,530.40 × 2,141.69
  4. Step 4: Simplify right side
    7,687.78x = 24,694,474.02
  5. Step 5: Solve for x
    x = 24,694,474.02/7,687.78
  6. Step 6: Final answer
    x = 3,212.17

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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.