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Finding the Fourth Proportional to 8,674.86, 13,015.89 and 3,743.58

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Solution

The fourth proportional to 8,674.86, 13,015.89 and 3,743.58 is: 5,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.86 : 13,015.89 = 3,743.58 : x
  2. Step 2: Convert to fraction form
    8,674.86/13,015.89 = 3,743.58/x
  3. Step 3: Cross multiply
    8,674.86x = 13,015.89 × 3,743.58
  4. Step 4: Simplify right side
    8,674.86x = 48,726,025.49
  5. Step 5: Solve for x
    x = 48,726,025.49/8,674.86
  6. Step 6: Final answer
    x = 5,616.92

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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.