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Finding the Fourth Proportional to 7,794.72, 11,696.40 and 5,718.96

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Solution

The fourth proportional to 7,794.72, 11,696.40 and 5,718.96 is: 8,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.72 : 11,696.40 = 5,718.96 : x
  2. Step 2: Convert to fraction form
    7,794.72/11,696.40 = 5,718.96/x
  3. Step 3: Cross multiply
    7,794.72x = 11,696.40 × 5,718.96
  4. Step 4: Simplify right side
    7,794.72x = 66,891,243.74
  5. Step 5: Solve for x
    x = 66,891,243.74/7,794.72
  6. Step 6: Final answer
    x = 8,581.61

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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.