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Finding the Fourth Proportional to 12,098.36, 18,145.04 and 3,777

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Solution

The fourth proportional to 12,098.36, 18,145.04 and 3,777 is: 5,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.36 : 18,145.04 = 3,777 : x
  2. Step 2: Convert to fraction form
    12,098.36/18,145.04 = 3,777/x
  3. Step 3: Cross multiply
    12,098.36x = 18,145.04 × 3,777
  4. Step 4: Simplify right side
    12,098.36x = 68,533,816.08
  5. Step 5: Solve for x
    x = 68,533,816.08/12,098.36
  6. Step 6: Final answer
    x = 5,664.72

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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.