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Finding the Fourth Proportional to 8,085.50, 12,128.24 and 2,539.27

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Solution

The fourth proportional to 8,085.50, 12,128.24 and 2,539.27 is: 3,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.50 : 12,128.24 = 2,539.27 : x
  2. Step 2: Convert to fraction form
    8,085.50/12,128.24 = 2,539.27/x
  3. Step 3: Cross multiply
    8,085.50x = 12,128.24 × 2,539.27
  4. Step 4: Simplify right side
    8,085.50x = 30,796,875.98
  5. Step 5: Solve for x
    x = 30,796,875.98/8,085.50
  6. Step 6: Final answer
    x = 3,808.90

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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.