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Finding the Fourth Proportional to 10,010.70, 13,782.48 and 8,239.26

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Solution

The fourth proportional to 10,010.70, 13,782.48 and 8,239.26 is: 11,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.70 : 13,782.48 = 8,239.26 : x
  2. Step 2: Convert to fraction form
    10,010.70/13,782.48 = 8,239.26/x
  3. Step 3: Cross multiply
    10,010.70x = 13,782.48 × 8,239.26
  4. Step 4: Simplify right side
    10,010.70x = 113,557,436.16
  5. Step 5: Solve for x
    x = 113,557,436.16/10,010.70
  6. Step 6: Final answer
    x = 11,343.61

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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.