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Finding the Fourth Proportional to 11,952.99, 17,931.92 and 4,162.41

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Solution

The fourth proportional to 11,952.99, 17,931.92 and 4,162.41 is: 6,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.99 : 17,931.92 = 4,162.41 : x
  2. Step 2: Convert to fraction form
    11,952.99/17,931.92 = 4,162.41/x
  3. Step 3: Cross multiply
    11,952.99x = 17,931.92 × 4,162.41
  4. Step 4: Simplify right side
    11,952.99x = 74,639,982.32
  5. Step 5: Solve for x
    x = 74,639,982.32/11,952.99
  6. Step 6: Final answer
    x = 6,244.46

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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.