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Finding the Fourth Proportional to 11,335.88, 16,984.63 and 6,944.17

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Solution

The fourth proportional to 11,335.88, 16,984.63 and 6,944.17 is: 10,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.88 : 16,984.63 = 6,944.17 : x
  2. Step 2: Convert to fraction form
    11,335.88/16,984.63 = 6,944.17/x
  3. Step 3: Cross multiply
    11,335.88x = 16,984.63 × 6,944.17
  4. Step 4: Simplify right side
    11,335.88x = 117,944,158.11
  5. Step 5: Solve for x
    x = 117,944,158.11/11,335.88
  6. Step 6: Final answer
    x = 10,404.50

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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.