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Finding the Fourth Proportional to 10,012.52, 13,817.19 and 5,536.46

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Solution

The fourth proportional to 10,012.52, 13,817.19 and 5,536.46 is: 7,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.52 : 13,817.19 = 5,536.46 : x
  2. Step 2: Convert to fraction form
    10,012.52/13,817.19 = 5,536.46/x
  3. Step 3: Cross multiply
    10,012.52x = 13,817.19 × 5,536.46
  4. Step 4: Simplify right side
    10,012.52x = 76,498,250.66
  5. Step 5: Solve for x
    x = 76,498,250.66/10,012.52
  6. Step 6: Final answer
    x = 7,640.26

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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.