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Finding the Fourth Proportional to 6,523.53, 9,785.26 and 1,593.19

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Solution

The fourth proportional to 6,523.53, 9,785.26 and 1,593.19 is: 2,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.53 : 9,785.26 = 1,593.19 : x
  2. Step 2: Convert to fraction form
    6,523.53/9,785.26 = 1,593.19/x
  3. Step 3: Cross multiply
    6,523.53x = 9,785.26 × 1,593.19
  4. Step 4: Simplify right side
    6,523.53x = 15,589,798.86
  5. Step 5: Solve for x
    x = 15,589,798.86/6,523.53
  6. Step 6: Final answer
    x = 2,389.78

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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.