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Finding the Fourth Proportional to 8,222.52, 12,325.14 and 4,325.88

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Solution

The fourth proportional to 8,222.52, 12,325.14 and 4,325.88 is: 6,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.52 : 12,325.14 = 4,325.88 : x
  2. Step 2: Convert to fraction form
    8,222.52/12,325.14 = 4,325.88/x
  3. Step 3: Cross multiply
    8,222.52x = 12,325.14 × 4,325.88
  4. Step 4: Simplify right side
    8,222.52x = 53,317,076.62
  5. Step 5: Solve for x
    x = 53,317,076.62/8,222.52
  6. Step 6: Final answer
    x = 6,484.27

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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.