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Finding the Fourth Proportional to 12,379.40, 18,585.58 and 7,189

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Solution

The fourth proportional to 12,379.40, 18,585.58 and 7,189 is: 10,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379.40 : 18,585.58 = 7,189 : x
  2. Step 2: Convert to fraction form
    12,379.40/18,585.58 = 7,189/x
  3. Step 3: Cross multiply
    12,379.40x = 18,585.58 × 7,189
  4. Step 4: Simplify right side
    12,379.40x = 133,611,734.62
  5. Step 5: Solve for x
    x = 133,611,734.62/12,379.40
  6. Step 6: Final answer
    x = 10,793.07

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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.