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Finding the Fourth Proportional to 8,296, 12,444 and 3,104.32

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Solution

The fourth proportional to 8,296, 12,444 and 3,104.32 is: 4,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296 : 12,444 = 3,104.32 : x
  2. Step 2: Convert to fraction form
    8,296/12,444 = 3,104.32/x
  3. Step 3: Cross multiply
    8,296x = 12,444 × 3,104.32
  4. Step 4: Simplify right side
    8,296x = 38,630,158.08
  5. Step 5: Solve for x
    x = 38,630,158.08/8,296
  6. Step 6: Final answer
    x = 4,656.48

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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.