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Finding the Fourth Proportional to 8,441.42, 11,642.74 and 6,458.54

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Solution

The fourth proportional to 8,441.42, 11,642.74 and 6,458.54 is: 8,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.42 : 11,642.74 = 6,458.54 : x
  2. Step 2: Convert to fraction form
    8,441.42/11,642.74 = 6,458.54/x
  3. Step 3: Cross multiply
    8,441.42x = 11,642.74 × 6,458.54
  4. Step 4: Simplify right side
    8,441.42x = 75,195,027.64
  5. Step 5: Solve for x
    x = 75,195,027.64/8,441.42
  6. Step 6: Final answer
    x = 8,907.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.