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Finding the Fourth Proportional to 8,094, 12,125.46 and 4,964.88

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Solution

The fourth proportional to 8,094, 12,125.46 and 4,964.88 is: 7,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094 : 12,125.46 = 4,964.88 : x
  2. Step 2: Convert to fraction form
    8,094/12,125.46 = 4,964.88/x
  3. Step 3: Cross multiply
    8,094x = 12,125.46 × 4,964.88
  4. Step 4: Simplify right side
    8,094x = 60,201,453.84
  5. Step 5: Solve for x
    x = 60,201,453.84/8,094
  6. Step 6: Final answer
    x = 7,437.79

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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.