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Finding the Fourth Proportional to 25,261.76, 37,892.78 and 6,540.49

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Solution

The fourth proportional to 25,261.76, 37,892.78 and 6,540.49 is: 9,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,261.76 : 37,892.78 = 6,540.49 : x
  2. Step 2: Convert to fraction form
    25,261.76/37,892.78 = 6,540.49/x
  3. Step 3: Cross multiply
    25,261.76x = 37,892.78 × 6,540.49
  4. Step 4: Simplify right side
    25,261.76x = 247,837,221.23
  5. Step 5: Solve for x
    x = 247,837,221.23/25,261.76
  6. Step 6: Final answer
    x = 9,810.77

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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.