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Finding the Fourth Proportional to 8,093.64, 12,147.69 and 4,147.58

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Solution

The fourth proportional to 8,093.64, 12,147.69 and 4,147.58 is: 6,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.64 : 12,147.69 = 4,147.58 : x
  2. Step 2: Convert to fraction form
    8,093.64/12,147.69 = 4,147.58/x
  3. Step 3: Cross multiply
    8,093.64x = 12,147.69 × 4,147.58
  4. Step 4: Simplify right side
    8,093.64x = 50,383,546.46
  5. Step 5: Solve for x
    x = 50,383,546.46/8,093.64
  6. Step 6: Final answer
    x = 6,225.08

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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.