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Finding the Fourth Proportional to 12,793.68, 19,212.48 and 7,892.28

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Solution

The fourth proportional to 12,793.68, 19,212.48 and 7,892.28 is: 11,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.68 : 19,212.48 = 7,892.28 : x
  2. Step 2: Convert to fraction form
    12,793.68/19,212.48 = 7,892.28/x
  3. Step 3: Cross multiply
    12,793.68x = 19,212.48 × 7,892.28
  4. Step 4: Simplify right side
    12,793.68x = 151,630,271.65
  5. Step 5: Solve for x
    x = 151,630,271.65/12,793.68
  6. Step 6: Final answer
    x = 11,851.97

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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.