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Finding the Fourth Proportional to 8,593.50, 12,896.01 and 3,121.50

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Solution

The fourth proportional to 8,593.50, 12,896.01 and 3,121.50 is: 4,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,593.50 : 12,896.01 = 3,121.50 : x
  2. Step 2: Convert to fraction form
    8,593.50/12,896.01 = 3,121.50/x
  3. Step 3: Cross multiply
    8,593.50x = 12,896.01 × 3,121.50
  4. Step 4: Simplify right side
    8,593.50x = 40,254,895.22
  5. Step 5: Solve for x
    x = 40,254,895.22/8,593.50
  6. Step 6: Final answer
    x = 4,684.34

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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.