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Finding the Fourth Proportional to 7,870.44, 11,806.74 and 2,324.19

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Solution

The fourth proportional to 7,870.44, 11,806.74 and 2,324.19 is: 3,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.44 : 11,806.74 = 2,324.19 : x
  2. Step 2: Convert to fraction form
    7,870.44/11,806.74 = 2,324.19/x
  3. Step 3: Cross multiply
    7,870.44x = 11,806.74 × 2,324.19
  4. Step 4: Simplify right side
    7,870.44x = 27,441,107.04
  5. Step 5: Solve for x
    x = 27,441,107.04/7,870.44
  6. Step 6: Final answer
    x = 3,486.60

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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.