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Finding the Fourth Proportional to 10,367.96, 15,538.96 and 8,168

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Solution

The fourth proportional to 10,367.96, 15,538.96 and 8,168 is: 12,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.96 : 15,538.96 = 8,168 : x
  2. Step 2: Convert to fraction form
    10,367.96/15,538.96 = 8,168/x
  3. Step 3: Cross multiply
    10,367.96x = 15,538.96 × 8,168
  4. Step 4: Simplify right side
    10,367.96x = 126,922,225.28
  5. Step 5: Solve for x
    x = 126,922,225.28/10,367.96
  6. Step 6: Final answer
    x = 12,241.77

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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.