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Finding the Fourth Proportional to 8,038.50, 12,057.67 and 2,195.11

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Solution

The fourth proportional to 8,038.50, 12,057.67 and 2,195.11 is: 3,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.50 : 12,057.67 = 2,195.11 : x
  2. Step 2: Convert to fraction form
    8,038.50/12,057.67 = 2,195.11/x
  3. Step 3: Cross multiply
    8,038.50x = 12,057.67 × 2,195.11
  4. Step 4: Simplify right side
    8,038.50x = 26,467,911.99
  5. Step 5: Solve for x
    x = 26,467,911.99/8,038.50
  6. Step 6: Final answer
    x = 3,292.64

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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.