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Finding the Fourth Proportional to 11,747.94, 16,212.15 and 6,442.83

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Solution

The fourth proportional to 11,747.94, 16,212.15 and 6,442.83 is: 8,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.94 : 16,212.15 = 6,442.83 : x
  2. Step 2: Convert to fraction form
    11,747.94/16,212.15 = 6,442.83/x
  3. Step 3: Cross multiply
    11,747.94x = 16,212.15 × 6,442.83
  4. Step 4: Simplify right side
    11,747.94x = 104,452,126.38
  5. Step 5: Solve for x
    x = 104,452,126.38/11,747.94
  6. Step 6: Final answer
    x = 8,891.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.