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Finding the Fourth Proportional to 11,954.32, 16,496.72 and 6,649.02

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Solution

The fourth proportional to 11,954.32, 16,496.72 and 6,649.02 is: 9,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.32 : 16,496.72 = 6,649.02 : x
  2. Step 2: Convert to fraction form
    11,954.32/16,496.72 = 6,649.02/x
  3. Step 3: Cross multiply
    11,954.32x = 16,496.72 × 6,649.02
  4. Step 4: Simplify right side
    11,954.32x = 109,686,987.97
  5. Step 5: Solve for x
    x = 109,686,987.97/11,954.32
  6. Step 6: Final answer
    x = 9,175.51

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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.