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Finding the Fourth Proportional to 11,817.50, 17,730.28 and 4,031.78

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Solution

The fourth proportional to 11,817.50, 17,730.28 and 4,031.78 is: 6,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.50 : 17,730.28 = 4,031.78 : x
  2. Step 2: Convert to fraction form
    11,817.50/17,730.28 = 4,031.78/x
  3. Step 3: Cross multiply
    11,817.50x = 17,730.28 × 4,031.78
  4. Step 4: Simplify right side
    11,817.50x = 71,484,588.30
  5. Step 5: Solve for x
    x = 71,484,588.30/11,817.50
  6. Step 6: Final answer
    x = 6,049.04

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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.