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Finding the Fourth Proportional to 8,679, 11,972.16 and 5,323.44

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Solution

The fourth proportional to 8,679, 11,972.16 and 5,323.44 is: 7,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679 : 11,972.16 = 5,323.44 : x
  2. Step 2: Convert to fraction form
    8,679/11,972.16 = 5,323.44/x
  3. Step 3: Cross multiply
    8,679x = 11,972.16 × 5,323.44
  4. Step 4: Simplify right side
    8,679x = 63,733,075.43
  5. Step 5: Solve for x
    x = 63,733,075.43/8,679
  6. Step 6: Final answer
    x = 7,343.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.