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Finding the Fourth Proportional to 11,660.56, 16,089.74 and 6,555.06

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Solution

The fourth proportional to 11,660.56, 16,089.74 and 6,555.06 is: 9,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.56 : 16,089.74 = 6,555.06 : x
  2. Step 2: Convert to fraction form
    11,660.56/16,089.74 = 6,555.06/x
  3. Step 3: Cross multiply
    11,660.56x = 16,089.74 × 6,555.06
  4. Step 4: Simplify right side
    11,660.56x = 105,469,211.08
  5. Step 5: Solve for x
    x = 105,469,211.08/11,660.56
  6. Step 6: Final answer
    x = 9,044.95

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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.