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Finding the Fourth Proportional to 11,954.54, 16,497.18 and 6,649.31

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Solution

The fourth proportional to 11,954.54, 16,497.18 and 6,649.31 is: 9,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.54 : 16,497.18 = 6,649.31 : x
  2. Step 2: Convert to fraction form
    11,954.54/16,497.18 = 6,649.31/x
  3. Step 3: Cross multiply
    11,954.54x = 16,497.18 × 6,649.31
  4. Step 4: Simplify right side
    11,954.54x = 109,694,905.19
  5. Step 5: Solve for x
    x = 109,694,905.19/11,954.54
  6. Step 6: Final answer
    x = 9,176.00

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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.