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Finding the Fourth Proportional to 8,212.10, 12,322.20 and 4,704.80

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Solution

The fourth proportional to 8,212.10, 12,322.20 and 4,704.80 is: 7,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.10 : 12,322.20 = 4,704.80 : x
  2. Step 2: Convert to fraction form
    8,212.10/12,322.20 = 4,704.80/x
  3. Step 3: Cross multiply
    8,212.10x = 12,322.20 × 4,704.80
  4. Step 4: Simplify right side
    8,212.10x = 57,973,486.56
  5. Step 5: Solve for x
    x = 57,973,486.56/8,212.10
  6. Step 6: Final answer
    x = 7,059.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.