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Finding the Fourth Proportional to 10,466.75, 14,438.27 and 6,213.65

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Solution

The fourth proportional to 10,466.75, 14,438.27 and 6,213.65 is: 8,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.75 : 14,438.27 = 6,213.65 : x
  2. Step 2: Convert to fraction form
    10,466.75/14,438.27 = 6,213.65/x
  3. Step 3: Cross multiply
    10,466.75x = 14,438.27 × 6,213.65
  4. Step 4: Simplify right side
    10,466.75x = 89,714,299.73
  5. Step 5: Solve for x
    x = 89,714,299.73/10,466.75
  6. Step 6: Final answer
    x = 8,571.36

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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.