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Finding the Fourth Proportional to 8,103.09, 12,156.69 and 2,259.70

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Solution

The fourth proportional to 8,103.09, 12,156.69 and 2,259.70 is: 3,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.09 : 12,156.69 = 2,259.70 : x
  2. Step 2: Convert to fraction form
    8,103.09/12,156.69 = 2,259.70/x
  3. Step 3: Cross multiply
    8,103.09x = 12,156.69 × 2,259.70
  4. Step 4: Simplify right side
    8,103.09x = 27,470,512.50
  5. Step 5: Solve for x
    x = 27,470,512.50/8,103.09
  6. Step 6: Final answer
    x = 3,390.13

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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.