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Finding the Fourth Proportional to 11,954.88, 17,934.06 and 6,031.68

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Solution

The fourth proportional to 11,954.88, 17,934.06 and 6,031.68 is: 9,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.88 : 17,934.06 = 6,031.68 : x
  2. Step 2: Convert to fraction form
    11,954.88/17,934.06 = 6,031.68/x
  3. Step 3: Cross multiply
    11,954.88x = 17,934.06 × 6,031.68
  4. Step 4: Simplify right side
    11,954.88x = 108,172,511.02
  5. Step 5: Solve for x
    x = 108,172,511.02/11,954.88
  6. Step 6: Final answer
    x = 9,048.40

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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.