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Finding the Fourth Proportional to 11,964.88, 16,511.40 and 6,660.16

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Solution

The fourth proportional to 11,964.88, 16,511.40 and 6,660.16 is: 9,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.88 : 16,511.40 = 6,660.16 : x
  2. Step 2: Convert to fraction form
    11,964.88/16,511.40 = 6,660.16/x
  3. Step 3: Cross multiply
    11,964.88x = 16,511.40 × 6,660.16
  4. Step 4: Simplify right side
    11,964.88x = 109,968,565.82
  5. Step 5: Solve for x
    x = 109,968,565.82/11,964.88
  6. Step 6: Final answer
    x = 9,190.95

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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.