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Finding the Fourth Proportional to 10,200.91, 14,077.73 and 5,951.29

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Solution

The fourth proportional to 10,200.91, 14,077.73 and 5,951.29 is: 8,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.91 : 14,077.73 = 5,951.29 : x
  2. Step 2: Convert to fraction form
    10,200.91/14,077.73 = 5,951.29/x
  3. Step 3: Cross multiply
    10,200.91x = 14,077.73 × 5,951.29
  4. Step 4: Simplify right side
    10,200.91x = 83,780,653.77
  5. Step 5: Solve for x
    x = 83,780,653.77/10,200.91
  6. Step 6: Final answer
    x = 8,213.06

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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.