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Finding the Fourth Proportional to 6,523.03, 9,785.10 and 2,081.33

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Solution

The fourth proportional to 6,523.03, 9,785.10 and 2,081.33 is: 3,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.03 : 9,785.10 = 2,081.33 : x
  2. Step 2: Convert to fraction form
    6,523.03/9,785.10 = 2,081.33/x
  3. Step 3: Cross multiply
    6,523.03x = 9,785.10 × 2,081.33
  4. Step 4: Simplify right side
    6,523.03x = 20,366,022.18
  5. Step 5: Solve for x
    x = 20,366,022.18/6,523.03
  6. Step 6: Final answer
    x = 3,122.17

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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.