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Finding the Fourth Proportional to 8,158.86, 12,243.15 and 2,965.14

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Solution

The fourth proportional to 8,158.86, 12,243.15 and 2,965.14 is: 4,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.86 : 12,243.15 = 2,965.14 : x
  2. Step 2: Convert to fraction form
    8,158.86/12,243.15 = 2,965.14/x
  3. Step 3: Cross multiply
    8,158.86x = 12,243.15 × 2,965.14
  4. Step 4: Simplify right side
    8,158.86x = 36,302,653.79
  5. Step 5: Solve for x
    x = 36,302,653.79/8,158.86
  6. Step 6: Final answer
    x = 4,449.48

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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.