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Finding the Fourth Proportional to 10,660.50, 14,711.18 and 6,183.95

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Solution

The fourth proportional to 10,660.50, 14,711.18 and 6,183.95 is: 8,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.50 : 14,711.18 = 6,183.95 : x
  2. Step 2: Convert to fraction form
    10,660.50/14,711.18 = 6,183.95/x
  3. Step 3: Cross multiply
    10,660.50x = 14,711.18 × 6,183.95
  4. Step 4: Simplify right side
    10,660.50x = 90,973,097.09
  5. Step 5: Solve for x
    x = 90,973,097.09/10,660.50
  6. Step 6: Final answer
    x = 8,533.66

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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.