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Finding the Fourth Proportional to 25,295.86, 37,944.88 and 7,766.38

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Solution

The fourth proportional to 25,295.86, 37,944.88 and 7,766.38 is: 11,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295.86 : 37,944.88 = 7,766.38 : x
  2. Step 2: Convert to fraction form
    25,295.86/37,944.88 = 7,766.38/x
  3. Step 3: Cross multiply
    25,295.86x = 37,944.88 × 7,766.38
  4. Step 4: Simplify right side
    25,295.86x = 294,694,357.13
  5. Step 5: Solve for x
    x = 294,694,357.13/25,295.86
  6. Step 6: Final answer
    x = 11,649.90

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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.