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Finding the Fourth Proportional to 12,084.34, 18,129.32 and 3,763.92

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Solution

The fourth proportional to 12,084.34, 18,129.32 and 3,763.92 is: 5,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.34 : 18,129.32 = 3,763.92 : x
  2. Step 2: Convert to fraction form
    12,084.34/18,129.32 = 3,763.92/x
  3. Step 3: Cross multiply
    12,084.34x = 18,129.32 × 3,763.92
  4. Step 4: Simplify right side
    12,084.34x = 68,237,271.44
  5. Step 5: Solve for x
    x = 68,237,271.44/12,084.34
  6. Step 6: Final answer
    x = 5,646.75

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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.