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Finding the Fourth Proportional to 8,138.52, 11,230.38 and 6,463.98

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Solution

The fourth proportional to 8,138.52, 11,230.38 and 6,463.98 is: 8,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.52 : 11,230.38 = 6,463.98 : x
  2. Step 2: Convert to fraction form
    8,138.52/11,230.38 = 6,463.98/x
  3. Step 3: Cross multiply
    8,138.52x = 11,230.38 × 6,463.98
  4. Step 4: Simplify right side
    8,138.52x = 72,592,951.71
  5. Step 5: Solve for x
    x = 72,592,951.71/8,138.52
  6. Step 6: Final answer
    x = 8,919.67

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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.