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Finding the Fourth Proportional to 11,966.62, 16,513.14 and 6,661.30

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Solution

The fourth proportional to 11,966.62, 16,513.14 and 6,661.30 is: 9,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.62 : 16,513.14 = 6,661.30 : x
  2. Step 2: Convert to fraction form
    11,966.62/16,513.14 = 6,661.30/x
  3. Step 3: Cross multiply
    11,966.62x = 16,513.14 × 6,661.30
  4. Step 4: Simplify right side
    11,966.62x = 109,998,979.48
  5. Step 5: Solve for x
    x = 109,998,979.48/11,966.62
  6. Step 6: Final answer
    x = 9,192.15

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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.