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Finding the Fourth Proportional to 7,081.56, 10,618.70 and 3,182.64

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Solution

The fourth proportional to 7,081.56, 10,618.70 and 3,182.64 is: 4,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.56 : 10,618.70 = 3,182.64 : x
  2. Step 2: Convert to fraction form
    7,081.56/10,618.70 = 3,182.64/x
  3. Step 3: Cross multiply
    7,081.56x = 10,618.70 × 3,182.64
  4. Step 4: Simplify right side
    7,081.56x = 33,795,499.37
  5. Step 5: Solve for x
    x = 33,795,499.37/7,081.56
  6. Step 6: Final answer
    x = 4,772.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.