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Finding the Fourth Proportional to 25,840.72, 38,760.54 and 7,120.68

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Solution

The fourth proportional to 25,840.72, 38,760.54 and 7,120.68 is: 10,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840.72 : 38,760.54 = 7,120.68 : x
  2. Step 2: Convert to fraction form
    25,840.72/38,760.54 = 7,120.68/x
  3. Step 3: Cross multiply
    25,840.72x = 38,760.54 × 7,120.68
  4. Step 4: Simplify right side
    25,840.72x = 276,001,401.97
  5. Step 5: Solve for x
    x = 276,001,401.97/25,840.72
  6. Step 6: Final answer
    x = 10,680.87

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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.