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Finding the Fourth Proportional to 12,087.92, 18,128.04 and 3,878

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Solution

The fourth proportional to 12,087.92, 18,128.04 and 3,878 is: 5,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.92 : 18,128.04 = 3,878 : x
  2. Step 2: Convert to fraction form
    12,087.92/18,128.04 = 3,878/x
  3. Step 3: Cross multiply
    12,087.92x = 18,128.04 × 3,878
  4. Step 4: Simplify right side
    12,087.92x = 70,300,539.12
  5. Step 5: Solve for x
    x = 70,300,539.12/12,087.92
  6. Step 6: Final answer
    x = 5,815.77

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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.