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Finding the Fourth Proportional to 8,649.80, 11,892.64 and 7,696.40

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Solution

The fourth proportional to 8,649.80, 11,892.64 and 7,696.40 is: 10,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.80 : 11,892.64 = 7,696.40 : x
  2. Step 2: Convert to fraction form
    8,649.80/11,892.64 = 7,696.40/x
  3. Step 3: Cross multiply
    8,649.80x = 11,892.64 × 7,696.40
  4. Step 4: Simplify right side
    8,649.80x = 91,530,514.50
  5. Step 5: Solve for x
    x = 91,530,514.50/8,649.80
  6. Step 6: Final answer
    x = 10,581.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.