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Finding the Fourth Proportional to 8,179.29, 12,266.16 and 5,715.27

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Solution

The fourth proportional to 8,179.29, 12,266.16 and 5,715.27 is: 8,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.29 : 12,266.16 = 5,715.27 : x
  2. Step 2: Convert to fraction form
    8,179.29/12,266.16 = 5,715.27/x
  3. Step 3: Cross multiply
    8,179.29x = 12,266.16 × 5,715.27
  4. Step 4: Simplify right side
    8,179.29x = 70,104,416.26
  5. Step 5: Solve for x
    x = 70,104,416.26/8,179.29
  6. Step 6: Final answer
    x = 8,570.97

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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.