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Finding the Fourth Proportional to 7,794.58, 11,696.98 and 2,864.26

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Solution

The fourth proportional to 7,794.58, 11,696.98 and 2,864.26 is: 4,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.58 : 11,696.98 = 2,864.26 : x
  2. Step 2: Convert to fraction form
    7,794.58/11,696.98 = 2,864.26/x
  3. Step 3: Cross multiply
    7,794.58x = 11,696.98 × 2,864.26
  4. Step 4: Simplify right side
    7,794.58x = 33,503,191.93
  5. Step 5: Solve for x
    x = 33,503,191.93/7,794.58
  6. Step 6: Final answer
    x = 4,298.27

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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.