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Finding the Fourth Proportional to 8,148.75, 12,223.14 and 2,954.64

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Solution

The fourth proportional to 8,148.75, 12,223.14 and 2,954.64 is: 4,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.75 : 12,223.14 = 2,954.64 : x
  2. Step 2: Convert to fraction form
    8,148.75/12,223.14 = 2,954.64/x
  3. Step 3: Cross multiply
    8,148.75x = 12,223.14 × 2,954.64
  4. Step 4: Simplify right side
    8,148.75x = 36,114,978.37
  5. Step 5: Solve for x
    x = 36,114,978.37/8,148.75
  6. Step 6: Final answer
    x = 4,431.97

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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.