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Finding the Fourth Proportional to 10,340.72, 15,511.08 and 3,766.96

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Solution

The fourth proportional to 10,340.72, 15,511.08 and 3,766.96 is: 5,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.72 : 15,511.08 = 3,766.96 : x
  2. Step 2: Convert to fraction form
    10,340.72/15,511.08 = 3,766.96/x
  3. Step 3: Cross multiply
    10,340.72x = 15,511.08 × 3,766.96
  4. Step 4: Simplify right side
    10,340.72x = 58,429,617.92
  5. Step 5: Solve for x
    x = 58,429,617.92/10,340.72
  6. Step 6: Final answer
    x = 5,650.44

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Why These Related Problems?

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