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Finding the Fourth Proportional to 7,494.86, 11,236.52 and 2,814.77

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Solution

The fourth proportional to 7,494.86, 11,236.52 and 2,814.77 is: 4,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.86 : 11,236.52 = 2,814.77 : x
  2. Step 2: Convert to fraction form
    7,494.86/11,236.52 = 2,814.77/x
  3. Step 3: Cross multiply
    7,494.86x = 11,236.52 × 2,814.77
  4. Step 4: Simplify right side
    7,494.86x = 31,628,205.33
  5. Step 5: Solve for x
    x = 31,628,205.33/7,494.86
  6. Step 6: Final answer
    x = 4,219.99

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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.