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Finding the Fourth Proportional to 11,138.72, 16,712.40 and 4,213.76

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Solution

The fourth proportional to 11,138.72, 16,712.40 and 4,213.76 is: 6,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.72 : 16,712.40 = 4,213.76 : x
  2. Step 2: Convert to fraction form
    11,138.72/16,712.40 = 4,213.76/x
  3. Step 3: Cross multiply
    11,138.72x = 16,712.40 × 4,213.76
  4. Step 4: Simplify right side
    11,138.72x = 70,422,042.62
  5. Step 5: Solve for x
    x = 70,422,042.62/11,138.72
  6. Step 6: Final answer
    x = 6,322.27

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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.