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Finding the Fourth Proportional to 10,893.98, 16,336.81 and 4,656.88

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Solution

The fourth proportional to 10,893.98, 16,336.81 and 4,656.88 is: 6,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.98 : 16,336.81 = 4,656.88 : x
  2. Step 2: Convert to fraction form
    10,893.98/16,336.81 = 4,656.88/x
  3. Step 3: Cross multiply
    10,893.98x = 16,336.81 × 4,656.88
  4. Step 4: Simplify right side
    10,893.98x = 76,078,511.27
  5. Step 5: Solve for x
    x = 76,078,511.27/10,893.98
  6. Step 6: Final answer
    x = 6,983.54

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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.