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Finding the Fourth Proportional to 25,315.22, 37,976.46 and 7,786.52

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Solution

The fourth proportional to 25,315.22, 37,976.46 and 7,786.52 is: 11,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,315.22 : 37,976.46 = 7,786.52 : x
  2. Step 2: Convert to fraction form
    25,315.22/37,976.46 = 7,786.52/x
  3. Step 3: Cross multiply
    25,315.22x = 37,976.46 × 7,786.52
  4. Step 4: Simplify right side
    25,315.22x = 295,704,465.32
  5. Step 5: Solve for x
    x = 295,704,465.32/25,315.22
  6. Step 6: Final answer
    x = 11,680.90

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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.