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Finding the Fourth Proportional to 11,753.92, 17,626.43 and 4,731.54

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Solution

The fourth proportional to 11,753.92, 17,626.43 and 4,731.54 is: 7,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.92 : 17,626.43 = 4,731.54 : x
  2. Step 2: Convert to fraction form
    11,753.92/17,626.43 = 4,731.54/x
  3. Step 3: Cross multiply
    11,753.92x = 17,626.43 × 4,731.54
  4. Step 4: Simplify right side
    11,753.92x = 83,400,158.60
  5. Step 5: Solve for x
    x = 83,400,158.60/11,753.92
  6. Step 6: Final answer
    x = 7,095.52

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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.