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Finding the Fourth Proportional to 25,257.34, 37,892.04 and 7,727.14

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Solution

The fourth proportional to 25,257.34, 37,892.04 and 7,727.14 is: 11,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.34 : 37,892.04 = 7,727.14 : x
  2. Step 2: Convert to fraction form
    25,257.34/37,892.04 = 7,727.14/x
  3. Step 3: Cross multiply
    25,257.34x = 37,892.04 × 7,727.14
  4. Step 4: Simplify right side
    25,257.34x = 292,797,097.97
  5. Step 5: Solve for x
    x = 292,797,097.97/25,257.34
  6. Step 6: Final answer
    x = 11,592.55

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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.