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Finding the Fourth Proportional to 11,546.68, 17,295.18 and 7,828.52

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Solution

The fourth proportional to 11,546.68, 17,295.18 and 7,828.52 is: 11,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.68 : 17,295.18 = 7,828.52 : x
  2. Step 2: Convert to fraction form
    11,546.68/17,295.18 = 7,828.52/x
  3. Step 3: Cross multiply
    11,546.68x = 17,295.18 × 7,828.52
  4. Step 4: Simplify right side
    11,546.68x = 135,395,662.53
  5. Step 5: Solve for x
    x = 135,395,662.53/11,546.68
  6. Step 6: Final answer
    x = 11,725.94

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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.