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Finding the Fourth Proportional to 8,230.86, 11,358.50 and 4,453.94

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Solution

The fourth proportional to 8,230.86, 11,358.50 and 4,453.94 is: 6,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.86 : 11,358.50 = 4,453.94 : x
  2. Step 2: Convert to fraction form
    8,230.86/11,358.50 = 4,453.94/x
  3. Step 3: Cross multiply
    8,230.86x = 11,358.50 × 4,453.94
  4. Step 4: Simplify right side
    8,230.86x = 50,590,077.49
  5. Step 5: Solve for x
    x = 50,590,077.49/8,230.86
  6. Step 6: Final answer
    x = 6,146.39

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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.