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Finding the Fourth Proportional to 7,806.84, 11,709.44 and 2,261.04

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Solution

The fourth proportional to 7,806.84, 11,709.44 and 2,261.04 is: 3,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.84 : 11,709.44 = 2,261.04 : x
  2. Step 2: Convert to fraction form
    7,806.84/11,709.44 = 2,261.04/x
  3. Step 3: Cross multiply
    7,806.84x = 11,709.44 × 2,261.04
  4. Step 4: Simplify right side
    7,806.84x = 26,475,512.22
  5. Step 5: Solve for x
    x = 26,475,512.22/7,806.84
  6. Step 6: Final answer
    x = 3,391.32

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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.