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Finding the Fourth Proportional to 7,806.78, 11,708.33 and 2,873.75

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Solution

The fourth proportional to 7,806.78, 11,708.33 and 2,873.75 is: 4,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.78 : 11,708.33 = 2,873.75 : x
  2. Step 2: Convert to fraction form
    7,806.78/11,708.33 = 2,873.75/x
  3. Step 3: Cross multiply
    7,806.78x = 11,708.33 × 2,873.75
  4. Step 4: Simplify right side
    7,806.78x = 33,646,740.43
  5. Step 5: Solve for x
    x = 33,646,740.43/7,806.78
  6. Step 6: Final answer
    x = 4,309.94

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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.