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Finding the Fourth Proportional to 7,468.70, 11,201.82 and 2,787.48

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Solution

The fourth proportional to 7,468.70, 11,201.82 and 2,787.48 is: 4,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.70 : 11,201.82 = 2,787.48 : x
  2. Step 2: Convert to fraction form
    7,468.70/11,201.82 = 2,787.48/x
  3. Step 3: Cross multiply
    7,468.70x = 11,201.82 × 2,787.48
  4. Step 4: Simplify right side
    7,468.70x = 31,224,849.21
  5. Step 5: Solve for x
    x = 31,224,849.21/7,468.70
  6. Step 6: Final answer
    x = 4,180.76

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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.