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Finding the Fourth Proportional to 8,197.29, 11,312.24 and 4,471.29

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Solution

The fourth proportional to 8,197.29, 11,312.24 and 4,471.29 is: 6,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.29 : 11,312.24 = 4,471.29 : x
  2. Step 2: Convert to fraction form
    8,197.29/11,312.24 = 4,471.29/x
  3. Step 3: Cross multiply
    8,197.29x = 11,312.24 × 4,471.29
  4. Step 4: Simplify right side
    8,197.29x = 50,580,283.23
  5. Step 5: Solve for x
    x = 50,580,283.23/8,197.29
  6. Step 6: Final answer
    x = 6,170.37

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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.