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Finding the Fourth Proportional to 13,511.37, 18,640.40 and 7,845.15

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Solution

The fourth proportional to 13,511.37, 18,640.40 and 7,845.15 is: 10,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.37 : 18,640.40 = 7,845.15 : x
  2. Step 2: Convert to fraction form
    13,511.37/18,640.40 = 7,845.15/x
  3. Step 3: Cross multiply
    13,511.37x = 18,640.40 × 7,845.15
  4. Step 4: Simplify right side
    13,511.37x = 146,236,694.83
  5. Step 5: Solve for x
    x = 146,236,694.83/13,511.37
  6. Step 6: Final answer
    x = 10,823.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.