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Finding the Fourth Proportional to 11,892.92, 17,815.52 and 5,658.98

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Solution

The fourth proportional to 11,892.92, 17,815.52 and 5,658.98 is: 8,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.92 : 17,815.52 = 5,658.98 : x
  2. Step 2: Convert to fraction form
    11,892.92/17,815.52 = 5,658.98/x
  3. Step 3: Cross multiply
    11,892.92x = 17,815.52 × 5,658.98
  4. Step 4: Simplify right side
    11,892.92x = 100,817,596.44
  5. Step 5: Solve for x
    x = 100,817,596.44/11,892.92
  6. Step 6: Final answer
    x = 8,477.11

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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.