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Finding the Fourth Proportional to 25,729.37, 38,594.06 and 7,261.37

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Solution

The fourth proportional to 25,729.37, 38,594.06 and 7,261.37 is: 10,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729.37 : 38,594.06 = 7,261.37 : x
  2. Step 2: Convert to fraction form
    25,729.37/38,594.06 = 7,261.37/x
  3. Step 3: Cross multiply
    25,729.37x = 38,594.06 × 7,261.37
  4. Step 4: Simplify right side
    25,729.37x = 280,245,713.16
  5. Step 5: Solve for x
    x = 280,245,713.16/25,729.37
  6. Step 6: Final answer
    x = 10,892.06

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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.