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Finding the Fourth Proportional to 25,272.96, 37,913.68 and 7,738.56

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Solution

The fourth proportional to 25,272.96, 37,913.68 and 7,738.56 is: 11,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,272.96 : 37,913.68 = 7,738.56 : x
  2. Step 2: Convert to fraction form
    25,272.96/37,913.68 = 7,738.56/x
  3. Step 3: Cross multiply
    25,272.96x = 37,913.68 × 7,738.56
  4. Step 4: Simplify right side
    25,272.96x = 293,397,287.50
  5. Step 5: Solve for x
    x = 293,397,287.50/25,272.96
  6. Step 6: Final answer
    x = 11,609.14

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Why These Related Problems?

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