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Finding the Fourth Proportional to 11,924.16, 17,892 and 4,909.38

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Solution

The fourth proportional to 11,924.16, 17,892 and 4,909.38 is: 7,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.16 : 17,892 = 4,909.38 : x
  2. Step 2: Convert to fraction form
    11,924.16/17,892 = 4,909.38/x
  3. Step 3: Cross multiply
    11,924.16x = 17,892 × 4,909.38
  4. Step 4: Simplify right side
    11,924.16x = 87,838,626.96
  5. Step 5: Solve for x
    x = 87,838,626.96/11,924.16
  6. Step 6: Final answer
    x = 7,366.44

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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.