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Finding the Fourth Proportional to 11,362.14, 17,049.78 and 4,787.82

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Solution

The fourth proportional to 11,362.14, 17,049.78 and 4,787.82 is: 7,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.14 : 17,049.78 = 4,787.82 : x
  2. Step 2: Convert to fraction form
    11,362.14/17,049.78 = 4,787.82/x
  3. Step 3: Cross multiply
    11,362.14x = 17,049.78 × 4,787.82
  4. Step 4: Simplify right side
    11,362.14x = 81,631,277.68
  5. Step 5: Solve for x
    x = 81,631,277.68/11,362.14
  6. Step 6: Final answer
    x = 7,184.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.