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Finding the Fourth Proportional to 11,696.50, 17,545.02 and 4,771

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Solution

The fourth proportional to 11,696.50, 17,545.02 and 4,771 is: 7,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.50 : 17,545.02 = 4,771 : x
  2. Step 2: Convert to fraction form
    11,696.50/17,545.02 = 4,771/x
  3. Step 3: Cross multiply
    11,696.50x = 17,545.02 × 4,771
  4. Step 4: Simplify right side
    11,696.50x = 83,707,290.42
  5. Step 5: Solve for x
    x = 83,707,290.42/11,696.50
  6. Step 6: Final answer
    x = 7,156.61

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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.