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Finding the Fourth Proportional to 27,582.36, 41,379.66 and 7,861.08

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Solution

The fourth proportional to 27,582.36, 41,379.66 and 7,861.08 is: 11,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.36 : 41,379.66 = 7,861.08 : x
  2. Step 2: Convert to fraction form
    27,582.36/41,379.66 = 7,861.08/x
  3. Step 3: Cross multiply
    27,582.36x = 41,379.66 × 7,861.08
  4. Step 4: Simplify right side
    27,582.36x = 325,288,972.81
  5. Step 5: Solve for x
    x = 325,288,972.81/27,582.36
  6. Step 6: Final answer
    x = 11,793.37

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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.