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Finding the Fourth Proportional to 11,933.50, 17,908.50 and 4,142.32

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Solution

The fourth proportional to 11,933.50, 17,908.50 and 4,142.32 is: 6,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.50 : 17,908.50 = 4,142.32 : x
  2. Step 2: Convert to fraction form
    11,933.50/17,908.50 = 4,142.32/x
  3. Step 3: Cross multiply
    11,933.50x = 17,908.50 × 4,142.32
  4. Step 4: Simplify right side
    11,933.50x = 74,182,737.72
  5. Step 5: Solve for x
    x = 74,182,737.72/11,933.50
  6. Step 6: Final answer
    x = 6,216.34

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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.