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Finding the Fourth Proportional to 8,696.82, 13,044.97 and 7,523.35

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Solution

The fourth proportional to 8,696.82, 13,044.97 and 7,523.35 is: 11,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.82 : 13,044.97 = 7,523.35 : x
  2. Step 2: Convert to fraction form
    8,696.82/13,044.97 = 7,523.35/x
  3. Step 3: Cross multiply
    8,696.82x = 13,044.97 × 7,523.35
  4. Step 4: Simplify right side
    8,696.82x = 98,141,918.01
  5. Step 5: Solve for x
    x = 98,141,918.01/8,696.82
  6. Step 6: Final answer
    x = 11,284.81

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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.