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Finding the Fourth Proportional to 8,206.50, 12,309.75 and 2,050.50

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Solution

The fourth proportional to 8,206.50, 12,309.75 and 2,050.50 is: 3,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.50 : 12,309.75 = 2,050.50 : x
  2. Step 2: Convert to fraction form
    8,206.50/12,309.75 = 2,050.50/x
  3. Step 3: Cross multiply
    8,206.50x = 12,309.75 × 2,050.50
  4. Step 4: Simplify right side
    8,206.50x = 25,241,142.38
  5. Step 5: Solve for x
    x = 25,241,142.38/8,206.50
  6. Step 6: Final answer
    x = 3,075.75

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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.