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Finding the Fourth Proportional to 11,174.99, 16,746.91 and 8,398.42

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Solution

The fourth proportional to 11,174.99, 16,746.91 and 8,398.42 is: 12,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.99 : 16,746.91 = 8,398.42 : x
  2. Step 2: Convert to fraction form
    11,174.99/16,746.91 = 8,398.42/x
  3. Step 3: Cross multiply
    11,174.99x = 16,746.91 × 8,398.42
  4. Step 4: Simplify right side
    11,174.99x = 140,647,521.02
  5. Step 5: Solve for x
    x = 140,647,521.02/11,174.99
  6. Step 6: Final answer
    x = 12,585.92

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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.