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Finding the Fourth Proportional to 11,938.59, 16,474.49 and 7,462.13

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Solution

The fourth proportional to 11,938.59, 16,474.49 and 7,462.13 is: 10,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.59 : 16,474.49 = 7,462.13 : x
  2. Step 2: Convert to fraction form
    11,938.59/16,474.49 = 7,462.13/x
  3. Step 3: Cross multiply
    11,938.59x = 16,474.49 × 7,462.13
  4. Step 4: Simplify right side
    11,938.59x = 122,934,694.36
  5. Step 5: Solve for x
    x = 122,934,694.36/11,938.59
  6. Step 6: Final answer
    x = 10,297.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.