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Finding the Fourth Proportional to 5,511.17, 8,284.98 and 5,105.36

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Solution

The fourth proportional to 5,511.17, 8,284.98 and 5,105.36 is: 7,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.17 : 8,284.98 = 5,105.36 : x
  2. Step 2: Convert to fraction form
    5,511.17/8,284.98 = 5,105.36/x
  3. Step 3: Cross multiply
    5,511.17x = 8,284.98 × 5,105.36
  4. Step 4: Simplify right side
    5,511.17x = 42,297,805.49
  5. Step 5: Solve for x
    x = 42,297,805.49/5,511.17
  6. Step 6: Final answer
    x = 7,674.92

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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.