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Finding the Fourth Proportional to 7,829.67, 10,805.45 and 5,172.42

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Solution

The fourth proportional to 7,829.67, 10,805.45 and 5,172.42 is: 7,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.67 : 10,805.45 = 5,172.42 : x
  2. Step 2: Convert to fraction form
    7,829.67/10,805.45 = 5,172.42/x
  3. Step 3: Cross multiply
    7,829.67x = 10,805.45 × 5,172.42
  4. Step 4: Simplify right side
    7,829.67x = 55,890,299.83
  5. Step 5: Solve for x
    x = 55,890,299.83/7,829.67
  6. Step 6: Final answer
    x = 7,138.27

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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.