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Finding the Fourth Proportional to 25,316.86, 37,975.38 and 7,786.57

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Solution

The fourth proportional to 25,316.86, 37,975.38 and 7,786.57 is: 11,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,316.86 : 37,975.38 = 7,786.57 : x
  2. Step 2: Convert to fraction form
    25,316.86/37,975.38 = 7,786.57/x
  3. Step 3: Cross multiply
    25,316.86x = 37,975.38 × 7,786.57
  4. Step 4: Simplify right side
    25,316.86x = 295,697,954.65
  5. Step 5: Solve for x
    x = 295,697,954.65/25,316.86
  6. Step 6: Final answer
    x = 11,679.88

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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.