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Finding the Fourth Proportional to 8,653.50, 12,961.89 and 8,350.38

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Solution

The fourth proportional to 8,653.50, 12,961.89 and 8,350.38 is: 12,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.50 : 12,961.89 = 8,350.38 : x
  2. Step 2: Convert to fraction form
    8,653.50/12,961.89 = 8,350.38/x
  3. Step 3: Cross multiply
    8,653.50x = 12,961.89 × 8,350.38
  4. Step 4: Simplify right side
    8,653.50x = 108,236,707.02
  5. Step 5: Solve for x
    x = 108,236,707.02/8,653.50
  6. Step 6: Final answer
    x = 12,507.85

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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.