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Finding the Fourth Proportional to 8,197.26, 11,312.19 and 4,471.26

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Solution

The fourth proportional to 8,197.26, 11,312.19 and 4,471.26 is: 6,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.26 : 11,312.19 = 4,471.26 : x
  2. Step 2: Convert to fraction form
    8,197.26/11,312.19 = 4,471.26/x
  3. Step 3: Cross multiply
    8,197.26x = 11,312.19 × 4,471.26
  4. Step 4: Simplify right side
    8,197.26x = 50,579,742.66
  5. Step 5: Solve for x
    x = 50,579,742.66/8,197.26
  6. Step 6: Final answer
    x = 6,170.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.