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Finding the Fourth Proportional to 10,020.36, 13,841.34 and 7,691.34

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Solution

The fourth proportional to 10,020.36, 13,841.34 and 7,691.34 is: 10,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.36 : 13,841.34 = 7,691.34 : x
  2. Step 2: Convert to fraction form
    10,020.36/13,841.34 = 7,691.34/x
  3. Step 3: Cross multiply
    10,020.36x = 13,841.34 × 7,691.34
  4. Step 4: Simplify right side
    10,020.36x = 106,458,452.00
  5. Step 5: Solve for x
    x = 106,458,452.00/10,020.36
  6. Step 6: Final answer
    x = 10,624.21

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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.