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Finding the Fourth Proportional to 8,085.86, 12,133.44 and 3,405.50

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Solution

The fourth proportional to 8,085.86, 12,133.44 and 3,405.50 is: 5,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.86 : 12,133.44 = 3,405.50 : x
  2. Step 2: Convert to fraction form
    8,085.86/12,133.44 = 3,405.50/x
  3. Step 3: Cross multiply
    8,085.86x = 12,133.44 × 3,405.50
  4. Step 4: Simplify right side
    8,085.86x = 41,320,429.92
  5. Step 5: Solve for x
    x = 41,320,429.92/8,085.86
  6. Step 6: Final answer
    x = 5,110.21

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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.