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Finding the Fourth Proportional to 10,255.69, 14,147.99 and 6,004.12

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Solution

The fourth proportional to 10,255.69, 14,147.99 and 6,004.12 is: 8,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.69 : 14,147.99 = 6,004.12 : x
  2. Step 2: Convert to fraction form
    10,255.69/14,147.99 = 6,004.12/x
  3. Step 3: Cross multiply
    10,255.69x = 14,147.99 × 6,004.12
  4. Step 4: Simplify right side
    10,255.69x = 84,946,229.72
  5. Step 5: Solve for x
    x = 84,946,229.72/10,255.69
  6. Step 6: Final answer
    x = 8,282.84

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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.