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Finding the Fourth Proportional to 11,405.46, 17,107.02 and 3,085.14

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Solution

The fourth proportional to 11,405.46, 17,107.02 and 3,085.14 is: 4,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.46 : 17,107.02 = 3,085.14 : x
  2. Step 2: Convert to fraction form
    11,405.46/17,107.02 = 3,085.14/x
  3. Step 3: Cross multiply
    11,405.46x = 17,107.02 × 3,085.14
  4. Step 4: Simplify right side
    11,405.46x = 52,777,551.68
  5. Step 5: Solve for x
    x = 52,777,551.68/11,405.46
  6. Step 6: Final answer
    x = 4,627.39

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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.