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Finding the Fourth Proportional to 11,135.96, 16,707.24 and 4,211

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Solution

The fourth proportional to 11,135.96, 16,707.24 and 4,211 is: 6,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.96 : 16,707.24 = 4,211 : x
  2. Step 2: Convert to fraction form
    11,135.96/16,707.24 = 4,211/x
  3. Step 3: Cross multiply
    11,135.96x = 16,707.24 × 4,211
  4. Step 4: Simplify right side
    11,135.96x = 70,354,187.64
  5. Step 5: Solve for x
    x = 70,354,187.64/11,135.96
  6. Step 6: Final answer
    x = 6,317.75

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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.