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Finding the Fourth Proportional to 11,896.48, 16,424.68 and 7,649.52

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Solution

The fourth proportional to 11,896.48, 16,424.68 and 7,649.52 is: 10,561.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.48 : 16,424.68 = 7,649.52 : x
  2. Step 2: Convert to fraction form
    11,896.48/16,424.68 = 7,649.52/x
  3. Step 3: Cross multiply
    11,896.48x = 16,424.68 × 7,649.52
  4. Step 4: Simplify right side
    11,896.48x = 125,640,918.15
  5. Step 5: Solve for x
    x = 125,640,918.15/11,896.48
  6. Step 6: Final answer
    x = 10,561.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.