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Finding the Fourth Proportional to 8,009.86, 12,013.83 and 2,166.92

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Solution

The fourth proportional to 8,009.86, 12,013.83 and 2,166.92 is: 3,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.86 : 12,013.83 = 2,166.92 : x
  2. Step 2: Convert to fraction form
    8,009.86/12,013.83 = 2,166.92/x
  3. Step 3: Cross multiply
    8,009.86x = 12,013.83 × 2,166.92
  4. Step 4: Simplify right side
    8,009.86x = 26,033,038.54
  5. Step 5: Solve for x
    x = 26,033,038.54/8,009.86
  6. Step 6: Final answer
    x = 3,250.13

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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.