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Finding the Fourth Proportional to 12,052, 18,078.32 and 3,844

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Solution

The fourth proportional to 12,052, 18,078.32 and 3,844 is: 5,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052 : 18,078.32 = 3,844 : x
  2. Step 2: Convert to fraction form
    12,052/18,078.32 = 3,844/x
  3. Step 3: Cross multiply
    12,052x = 18,078.32 × 3,844
  4. Step 4: Simplify right side
    12,052x = 69,493,062.08
  5. Step 5: Solve for x
    x = 69,493,062.08/12,052
  6. Step 6: Final answer
    x = 5,766.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.