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Finding the Fourth Proportional to 10,511.62, 15,745.87 and 8,420.29

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Solution

The fourth proportional to 10,511.62, 15,745.87 and 8,420.29 is: 12,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.62 : 15,745.87 = 8,420.29 : x
  2. Step 2: Convert to fraction form
    10,511.62/15,745.87 = 8,420.29/x
  3. Step 3: Cross multiply
    10,511.62x = 15,745.87 × 8,420.29
  4. Step 4: Simplify right side
    10,511.62x = 132,584,791.70
  5. Step 5: Solve for x
    x = 132,584,791.70/10,511.62
  6. Step 6: Final answer
    x = 12,613.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.