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Finding the Fourth Proportional to 10,227.95, 15,342.09 and 3,207.79

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Solution

The fourth proportional to 10,227.95, 15,342.09 and 3,207.79 is: 4,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.95 : 15,342.09 = 3,207.79 : x
  2. Step 2: Convert to fraction form
    10,227.95/15,342.09 = 3,207.79/x
  3. Step 3: Cross multiply
    10,227.95x = 15,342.09 × 3,207.79
  4. Step 4: Simplify right side
    10,227.95x = 49,214,199.73
  5. Step 5: Solve for x
    x = 49,214,199.73/10,227.95
  6. Step 6: Final answer
    x = 4,811.74

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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.