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Finding the Fourth Proportional to 7,814.83, 11,727.03 and 3,134.34

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Solution

The fourth proportional to 7,814.83, 11,727.03 and 3,134.34 is: 4,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.83 : 11,727.03 = 3,134.34 : x
  2. Step 2: Convert to fraction form
    7,814.83/11,727.03 = 3,134.34/x
  3. Step 3: Cross multiply
    7,814.83x = 11,727.03 × 3,134.34
  4. Step 4: Simplify right side
    7,814.83x = 36,756,499.21
  5. Step 5: Solve for x
    x = 36,756,499.21/7,814.83
  6. Step 6: Final answer
    x = 4,703.43

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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.