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Finding the Fourth Proportional to 11,649.12, 16,079.22 and 6,936.54

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Solution

The fourth proportional to 11,649.12, 16,079.22 and 6,936.54 is: 9,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.12 : 16,079.22 = 6,936.54 : x
  2. Step 2: Convert to fraction form
    11,649.12/16,079.22 = 6,936.54/x
  3. Step 3: Cross multiply
    11,649.12x = 16,079.22 × 6,936.54
  4. Step 4: Simplify right side
    11,649.12x = 111,534,152.70
  5. Step 5: Solve for x
    x = 111,534,152.70/11,649.12
  6. Step 6: Final answer
    x = 9,574.47

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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.