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Finding the Fourth Proportional to 11,105.34, 16,658.03 and 3,314.16

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Solution

The fourth proportional to 11,105.34, 16,658.03 and 3,314.16 is: 4,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.34 : 16,658.03 = 3,314.16 : x
  2. Step 2: Convert to fraction form
    11,105.34/16,658.03 = 3,314.16/x
  3. Step 3: Cross multiply
    11,105.34x = 16,658.03 × 3,314.16
  4. Step 4: Simplify right side
    11,105.34x = 55,207,293.41
  5. Step 5: Solve for x
    x = 55,207,293.41/11,105.34
  6. Step 6: Final answer
    x = 4,971.24

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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.