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Finding the Fourth Proportional to 10,397.92, 15,599.16 and 3,823.96

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Solution

The fourth proportional to 10,397.92, 15,599.16 and 3,823.96 is: 5,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.92 : 15,599.16 = 3,823.96 : x
  2. Step 2: Convert to fraction form
    10,397.92/15,599.16 = 3,823.96/x
  3. Step 3: Cross multiply
    10,397.92x = 15,599.16 × 3,823.96
  4. Step 4: Simplify right side
    10,397.92x = 59,650,563.87
  5. Step 5: Solve for x
    x = 59,650,563.87/10,397.92
  6. Step 6: Final answer
    x = 5,736.78

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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.