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Finding the Fourth Proportional to 25,171.77, 37,757.79 and 7,641.75

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Solution

The fourth proportional to 25,171.77, 37,757.79 and 7,641.75 is: 11,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.77 : 37,757.79 = 7,641.75 : x
  2. Step 2: Convert to fraction form
    25,171.77/37,757.79 = 7,641.75/x
  3. Step 3: Cross multiply
    25,171.77x = 37,757.79 × 7,641.75
  4. Step 4: Simplify right side
    25,171.77x = 288,535,591.73
  5. Step 5: Solve for x
    x = 288,535,591.73/25,171.77
  6. Step 6: Final answer
    x = 11,462.67

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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.