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Finding the Fourth Proportional to 6,964.28, 10,422 and 4,992.08

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Solution

The fourth proportional to 6,964.28, 10,422 and 4,992.08 is: 7,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.28 : 10,422 = 4,992.08 : x
  2. Step 2: Convert to fraction form
    6,964.28/10,422 = 4,992.08/x
  3. Step 3: Cross multiply
    6,964.28x = 10,422 × 4,992.08
  4. Step 4: Simplify right side
    6,964.28x = 52,027,405.65
  5. Step 5: Solve for x
    x = 52,027,405.65/6,964.28
  6. Step 6: Final answer
    x = 7,470.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.