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Finding the Fourth Proportional to 10,085.71, 13,914.46 and 6,255.57

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Solution

The fourth proportional to 10,085.71, 13,914.46 and 6,255.57 is: 8,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.71 : 13,914.46 = 6,255.57 : x
  2. Step 2: Convert to fraction form
    10,085.71/13,914.46 = 6,255.57/x
  3. Step 3: Cross multiply
    10,085.71x = 13,914.46 × 6,255.57
  4. Step 4: Simplify right side
    10,085.71x = 87,042,847.26
  5. Step 5: Solve for x
    x = 87,042,847.26/10,085.71
  6. Step 6: Final answer
    x = 8,630.32

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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.