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Finding the Fourth Proportional to 7,814.43, 11,722.01 and 4,349.07

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Solution

The fourth proportional to 7,814.43, 11,722.01 and 4,349.07 is: 6,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.43 : 11,722.01 = 4,349.07 : x
  2. Step 2: Convert to fraction form
    7,814.43/11,722.01 = 4,349.07/x
  3. Step 3: Cross multiply
    7,814.43x = 11,722.01 × 4,349.07
  4. Step 4: Simplify right side
    7,814.43x = 50,979,820.29
  5. Step 5: Solve for x
    x = 50,979,820.29/7,814.43
  6. Step 6: Final answer
    x = 6,523.81

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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.