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Finding the Fourth Proportional to 11,095.96, 16,647.54 and 4,171

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Solution

The fourth proportional to 11,095.96, 16,647.54 and 4,171 is: 6,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095.96 : 16,647.54 = 4,171 : x
  2. Step 2: Convert to fraction form
    11,095.96/16,647.54 = 4,171/x
  3. Step 3: Cross multiply
    11,095.96x = 16,647.54 × 4,171
  4. Step 4: Simplify right side
    11,095.96x = 69,436,889.34
  5. Step 5: Solve for x
    x = 69,436,889.34/11,095.96
  6. Step 6: Final answer
    x = 6,257.85

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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.