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Finding the Fourth Proportional to 8,522.22, 12,772.56 and 3,837.24

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Solution

The fourth proportional to 8,522.22, 12,772.56 and 3,837.24 is: 5,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.22 : 12,772.56 = 3,837.24 : x
  2. Step 2: Convert to fraction form
    8,522.22/12,772.56 = 3,837.24/x
  3. Step 3: Cross multiply
    8,522.22x = 12,772.56 × 3,837.24
  4. Step 4: Simplify right side
    8,522.22x = 49,011,378.13
  5. Step 5: Solve for x
    x = 49,011,378.13/8,522.22
  6. Step 6: Final answer
    x = 5,751.01

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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.