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Finding the Fourth Proportional to 10,504.26, 14,494.74 and 6,027.92

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Solution

The fourth proportional to 10,504.26, 14,494.74 and 6,027.92 is: 8,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.26 : 14,494.74 = 6,027.92 : x
  2. Step 2: Convert to fraction form
    10,504.26/14,494.74 = 6,027.92/x
  3. Step 3: Cross multiply
    10,504.26x = 14,494.74 × 6,027.92
  4. Step 4: Simplify right side
    10,504.26x = 87,373,060.67
  5. Step 5: Solve for x
    x = 87,373,060.67/10,504.26
  6. Step 6: Final answer
    x = 8,317.87

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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.