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Finding the Fourth Proportional to 6,843.42, 10,247.63 and 5,458.77

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Solution

The fourth proportional to 6,843.42, 10,247.63 and 5,458.77 is: 8,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.42 : 10,247.63 = 5,458.77 : x
  2. Step 2: Convert to fraction form
    6,843.42/10,247.63 = 5,458.77/x
  3. Step 3: Cross multiply
    6,843.42x = 10,247.63 × 5,458.77
  4. Step 4: Simplify right side
    6,843.42x = 55,939,427.92
  5. Step 5: Solve for x
    x = 55,939,427.92/6,843.42
  6. Step 6: Final answer
    x = 8,174.19

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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.