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Finding the Fourth Proportional to 8,188.87, 11,300.10 and 4,604.38

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Solution

The fourth proportional to 8,188.87, 11,300.10 and 4,604.38 is: 6,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.87 : 11,300.10 = 4,604.38 : x
  2. Step 2: Convert to fraction form
    8,188.87/11,300.10 = 4,604.38/x
  3. Step 3: Cross multiply
    8,188.87x = 11,300.10 × 4,604.38
  4. Step 4: Simplify right side
    8,188.87x = 52,029,954.44
  5. Step 5: Solve for x
    x = 52,029,954.44/8,188.87
  6. Step 6: Final answer
    x = 6,353.74

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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.