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Finding the Fourth Proportional to 8,695.92, 11,996.38 and 5,157.84

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Solution

The fourth proportional to 8,695.92, 11,996.38 and 5,157.84 is: 7,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.92 : 11,996.38 = 5,157.84 : x
  2. Step 2: Convert to fraction form
    8,695.92/11,996.38 = 5,157.84/x
  3. Step 3: Cross multiply
    8,695.92x = 11,996.38 × 5,157.84
  4. Step 4: Simplify right side
    8,695.92x = 61,875,408.62
  5. Step 5: Solve for x
    x = 61,875,408.62/8,695.92
  6. Step 6: Final answer
    x = 7,115.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.