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Finding the Fourth Proportional to 8,263, 12,396.03 and 2,716.66

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Solution

The fourth proportional to 8,263, 12,396.03 and 2,716.66 is: 4,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263 : 12,396.03 = 2,716.66 : x
  2. Step 2: Convert to fraction form
    8,263/12,396.03 = 2,716.66/x
  3. Step 3: Cross multiply
    8,263x = 12,396.03 × 2,716.66
  4. Step 4: Simplify right side
    8,263x = 33,675,798.86
  5. Step 5: Solve for x
    x = 33,675,798.86/8,263
  6. Step 6: Final answer
    x = 4,075.49

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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.