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Finding the Fourth Proportional to 11,696.00, 17,545.48 and 5,369.33

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Solution

The fourth proportional to 11,696.00, 17,545.48 and 5,369.33 is: 8,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.00 : 17,545.48 = 5,369.33 : x
  2. Step 2: Convert to fraction form
    11,696.00/17,545.48 = 5,369.33/x
  3. Step 3: Cross multiply
    11,696.00x = 17,545.48 × 5,369.33
  4. Step 4: Simplify right side
    11,696.00x = 94,207,502.57
  5. Step 5: Solve for x
    x = 94,207,502.57/11,696.00
  6. Step 6: Final answer
    x = 8,054.68

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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.