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Finding the Fourth Proportional to 10,012.78, 13,817.07 and 5,536.26

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Solution

The fourth proportional to 10,012.78, 13,817.07 and 5,536.26 is: 7,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.78 : 13,817.07 = 5,536.26 : x
  2. Step 2: Convert to fraction form
    10,012.78/13,817.07 = 5,536.26/x
  3. Step 3: Cross multiply
    10,012.78x = 13,817.07 × 5,536.26
  4. Step 4: Simplify right side
    10,012.78x = 76,494,871.26
  5. Step 5: Solve for x
    x = 76,494,871.26/10,012.78
  6. Step 6: Final answer
    x = 7,639.73

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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.