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Finding the Fourth Proportional to 6,842.57, 10,247.57 and 4,369.73

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Solution

The fourth proportional to 6,842.57, 10,247.57 and 4,369.73 is: 6,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.57 : 10,247.57 = 4,369.73 : x
  2. Step 2: Convert to fraction form
    6,842.57/10,247.57 = 4,369.73/x
  3. Step 3: Cross multiply
    6,842.57x = 10,247.57 × 4,369.73
  4. Step 4: Simplify right side
    6,842.57x = 44,779,092.21
  5. Step 5: Solve for x
    x = 44,779,092.21/6,842.57
  6. Step 6: Final answer
    x = 6,544.19

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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.