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Finding the Fourth Proportional to 10,607.96, 15,911.86 and 5,863.88

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Solution

The fourth proportional to 10,607.96, 15,911.86 and 5,863.88 is: 8,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.96 : 15,911.86 = 5,863.88 : x
  2. Step 2: Convert to fraction form
    10,607.96/15,911.86 = 5,863.88/x
  3. Step 3: Cross multiply
    10,607.96x = 15,911.86 × 5,863.88
  4. Step 4: Simplify right side
    10,607.96x = 93,305,237.62
  5. Step 5: Solve for x
    x = 93,305,237.62/10,607.96
  6. Step 6: Final answer
    x = 8,795.78

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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.