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Finding the Fourth Proportional to 25,198.27, 37,786.46 and 7,664.00

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Solution

The fourth proportional to 25,198.27, 37,786.46 and 7,664.00 is: 11,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.27 : 37,786.46 = 7,664.00 : x
  2. Step 2: Convert to fraction form
    25,198.27/37,786.46 = 7,664.00/x
  3. Step 3: Cross multiply
    25,198.27x = 37,786.46 × 7,664.00
  4. Step 4: Simplify right side
    25,198.27x = 289,595,202.19
  5. Step 5: Solve for x
    x = 289,595,202.19/25,198.27
  6. Step 6: Final answer
    x = 11,492.66

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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.