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Finding the Fourth Proportional to 8,536.05, 12,802.23 and 2,689.47

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Solution

The fourth proportional to 8,536.05, 12,802.23 and 2,689.47 is: 4,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.05 : 12,802.23 = 2,689.47 : x
  2. Step 2: Convert to fraction form
    8,536.05/12,802.23 = 2,689.47/x
  3. Step 3: Cross multiply
    8,536.05x = 12,802.23 × 2,689.47
  4. Step 4: Simplify right side
    8,536.05x = 34,431,213.52
  5. Step 5: Solve for x
    x = 34,431,213.52/8,536.05
  6. Step 6: Final answer
    x = 4,033.62

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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.