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Finding the Fourth Proportional to 8,205.27, 12,307.81 and 5,566.24

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Solution

The fourth proportional to 8,205.27, 12,307.81 and 5,566.24 is: 8,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.27 : 12,307.81 = 5,566.24 : x
  2. Step 2: Convert to fraction form
    8,205.27/12,307.81 = 5,566.24/x
  3. Step 3: Cross multiply
    8,205.27x = 12,307.81 × 5,566.24
  4. Step 4: Simplify right side
    8,205.27x = 68,508,162.80
  5. Step 5: Solve for x
    x = 68,508,162.80/8,205.27
  6. Step 6: Final answer
    x = 8,349.29

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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.