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Finding the Fourth Proportional to 7,016.83, 10,523.19 and 3,898.42

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Solution

The fourth proportional to 7,016.83, 10,523.19 and 3,898.42 is: 5,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.83 : 10,523.19 = 3,898.42 : x
  2. Step 2: Convert to fraction form
    7,016.83/10,523.19 = 3,898.42/x
  3. Step 3: Cross multiply
    7,016.83x = 10,523.19 × 3,898.42
  4. Step 4: Simplify right side
    7,016.83x = 41,023,814.36
  5. Step 5: Solve for x
    x = 41,023,814.36/7,016.83
  6. Step 6: Final answer
    x = 5,846.49

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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.