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Finding the Fourth Proportional to 7,814.24, 11,721.90 and 2,884.22

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Solution

The fourth proportional to 7,814.24, 11,721.90 and 2,884.22 is: 4,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.24 : 11,721.90 = 2,884.22 : x
  2. Step 2: Convert to fraction form
    7,814.24/11,721.90 = 2,884.22/x
  3. Step 3: Cross multiply
    7,814.24x = 11,721.90 × 2,884.22
  4. Step 4: Simplify right side
    7,814.24x = 33,808,479.81
  5. Step 5: Solve for x
    x = 33,808,479.81/7,814.24
  6. Step 6: Final answer
    x = 4,326.52

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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.