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Finding the Fourth Proportional to 11,966.94, 16,514.28 and 6,661.44

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Solution

The fourth proportional to 11,966.94, 16,514.28 and 6,661.44 is: 9,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.94 : 16,514.28 = 6,661.44 : x
  2. Step 2: Convert to fraction form
    11,966.94/16,514.28 = 6,661.44/x
  3. Step 3: Cross multiply
    11,966.94x = 16,514.28 × 6,661.44
  4. Step 4: Simplify right side
    11,966.94x = 110,008,885.36
  5. Step 5: Solve for x
    x = 110,008,885.36/11,966.94
  6. Step 6: Final answer
    x = 9,192.73

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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.