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Finding the Fourth Proportional to 11,477.70, 17,216.08 and 3,157.11

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Solution

The fourth proportional to 11,477.70, 17,216.08 and 3,157.11 is: 4,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.70 : 17,216.08 = 3,157.11 : x
  2. Step 2: Convert to fraction form
    11,477.70/17,216.08 = 3,157.11/x
  3. Step 3: Cross multiply
    11,477.70x = 17,216.08 × 3,157.11
  4. Step 4: Simplify right side
    11,477.70x = 54,353,050.44
  5. Step 5: Solve for x
    x = 54,353,050.44/11,477.70
  6. Step 6: Final answer
    x = 4,735.54

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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.