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Finding the Fourth Proportional to 11,908.20, 17,864.86 and 4,011.50

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Solution

The fourth proportional to 11,908.20, 17,864.86 and 4,011.50 is: 6,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.20 : 17,864.86 = 4,011.50 : x
  2. Step 2: Convert to fraction form
    11,908.20/17,864.86 = 4,011.50/x
  3. Step 3: Cross multiply
    11,908.20x = 17,864.86 × 4,011.50
  4. Step 4: Simplify right side
    11,908.20x = 71,664,885.89
  5. Step 5: Solve for x
    x = 71,664,885.89/11,908.20
  6. Step 6: Final answer
    x = 6,018.11

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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.