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Finding the Fourth Proportional to 8,634.73, 11,919.90 and 6,511.12

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Solution

The fourth proportional to 8,634.73, 11,919.90 and 6,511.12 is: 8,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.73 : 11,919.90 = 6,511.12 : x
  2. Step 2: Convert to fraction form
    8,634.73/11,919.90 = 6,511.12/x
  3. Step 3: Cross multiply
    8,634.73x = 11,919.90 × 6,511.12
  4. Step 4: Simplify right side
    8,634.73x = 77,611,899.29
  5. Step 5: Solve for x
    x = 77,611,899.29/8,634.73
  6. Step 6: Final answer
    x = 8,988.34

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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.