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Finding the Fourth Proportional to 25,771.35, 38,665.07 and 7,760.29

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Solution

The fourth proportional to 25,771.35, 38,665.07 and 7,760.29 is: 11,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771.35 : 38,665.07 = 7,760.29 : x
  2. Step 2: Convert to fraction form
    25,771.35/38,665.07 = 7,760.29/x
  3. Step 3: Cross multiply
    25,771.35x = 38,665.07 × 7,760.29
  4. Step 4: Simplify right side
    25,771.35x = 300,052,156.07
  5. Step 5: Solve for x
    x = 300,052,156.07/25,771.35
  6. Step 6: Final answer
    x = 11,642.86

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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.