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Finding the Fourth Proportional to 11,966.54, 16,513.46 and 6,661.24

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Solution

The fourth proportional to 11,966.54, 16,513.46 and 6,661.24 is: 9,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.54 : 16,513.46 = 6,661.24 : x
  2. Step 2: Convert to fraction form
    11,966.54/16,513.46 = 6,661.24/x
  3. Step 3: Cross multiply
    11,966.54x = 16,513.46 × 6,661.24
  4. Step 4: Simplify right side
    11,966.54x = 110,000,120.29
  5. Step 5: Solve for x
    x = 110,000,120.29/11,966.54
  6. Step 6: Final answer
    x = 9,192.31

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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.