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Finding the Fourth Proportional to 11,966.70, 16,514.37 and 6,661.20

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Solution

The fourth proportional to 11,966.70, 16,514.37 and 6,661.20 is: 9,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.70 : 16,514.37 = 6,661.20 : x
  2. Step 2: Convert to fraction form
    11,966.70/16,514.37 = 6,661.20/x
  3. Step 3: Cross multiply
    11,966.70x = 16,514.37 × 6,661.20
  4. Step 4: Simplify right side
    11,966.70x = 110,005,521.44
  5. Step 5: Solve for x
    x = 110,005,521.44/11,966.70
  6. Step 6: Final answer
    x = 9,192.64

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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.