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Finding the Fourth Proportional to 11,596.92, 17,380.02 and 5,429.88

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Solution

The fourth proportional to 11,596.92, 17,380.02 and 5,429.88 is: 8,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.92 : 17,380.02 = 5,429.88 : x
  2. Step 2: Convert to fraction form
    11,596.92/17,380.02 = 5,429.88/x
  3. Step 3: Cross multiply
    11,596.92x = 17,380.02 × 5,429.88
  4. Step 4: Simplify right side
    11,596.92x = 94,371,423.00
  5. Step 5: Solve for x
    x = 94,371,423.00/11,596.92
  6. Step 6: Final answer
    x = 8,137.63

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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.