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Finding the Fourth Proportional to 10,007.70, 13,778.34 and 8,236.26

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Solution

The fourth proportional to 10,007.70, 13,778.34 and 8,236.26 is: 11,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.70 : 13,778.34 = 8,236.26 : x
  2. Step 2: Convert to fraction form
    10,007.70/13,778.34 = 8,236.26/x
  3. Step 3: Cross multiply
    10,007.70x = 13,778.34 × 8,236.26
  4. Step 4: Simplify right side
    10,007.70x = 113,481,990.61
  5. Step 5: Solve for x
    x = 113,481,990.61/10,007.70
  6. Step 6: Final answer
    x = 11,339.47

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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.