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Finding the Fourth Proportional to 8,050.38, 12,075.03 and 2,206.50

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Solution

The fourth proportional to 8,050.38, 12,075.03 and 2,206.50 is: 3,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.38 : 12,075.03 = 2,206.50 : x
  2. Step 2: Convert to fraction form
    8,050.38/12,075.03 = 2,206.50/x
  3. Step 3: Cross multiply
    8,050.38x = 12,075.03 × 2,206.50
  4. Step 4: Simplify right side
    8,050.38x = 26,643,553.70
  5. Step 5: Solve for x
    x = 26,643,553.70/8,050.38
  6. Step 6: Final answer
    x = 3,309.60

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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.