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Finding the Fourth Proportional to 10,711.72, 16,063.26 and 3,314.44

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Solution

The fourth proportional to 10,711.72, 16,063.26 and 3,314.44 is: 4,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.72 : 16,063.26 = 3,314.44 : x
  2. Step 2: Convert to fraction form
    10,711.72/16,063.26 = 3,314.44/x
  3. Step 3: Cross multiply
    10,711.72x = 16,063.26 × 3,314.44
  4. Step 4: Simplify right side
    10,711.72x = 53,240,711.47
  5. Step 5: Solve for x
    x = 53,240,711.47/10,711.72
  6. Step 6: Final answer
    x = 4,970.32

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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.