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Finding the Fourth Proportional to 7,873.68, 11,806.98 and 2,325.09

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Solution

The fourth proportional to 7,873.68, 11,806.98 and 2,325.09 is: 3,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.68 : 11,806.98 = 2,325.09 : x
  2. Step 2: Convert to fraction form
    7,873.68/11,806.98 = 2,325.09/x
  3. Step 3: Cross multiply
    7,873.68x = 11,806.98 × 2,325.09
  4. Step 4: Simplify right side
    7,873.68x = 27,452,291.13
  5. Step 5: Solve for x
    x = 27,452,291.13/7,873.68
  6. Step 6: Final answer
    x = 3,486.59

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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.