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Finding the Fourth Proportional to 11,545.92, 17,320.47 and 4,149

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Solution

The fourth proportional to 11,545.92, 17,320.47 and 4,149 is: 6,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.92 : 17,320.47 = 4,149 : x
  2. Step 2: Convert to fraction form
    11,545.92/17,320.47 = 4,149/x
  3. Step 3: Cross multiply
    11,545.92x = 17,320.47 × 4,149
  4. Step 4: Simplify right side
    11,545.92x = 71,862,630.03
  5. Step 5: Solve for x
    x = 71,862,630.03/11,545.92
  6. Step 6: Final answer
    x = 6,224.07

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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.