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Finding the Fourth Proportional to 11,138.86, 16,711.24 and 4,900.11

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Solution

The fourth proportional to 11,138.86, 16,711.24 and 4,900.11 is: 7,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.86 : 16,711.24 = 4,900.11 : x
  2. Step 2: Convert to fraction form
    11,138.86/16,711.24 = 4,900.11/x
  3. Step 3: Cross multiply
    11,138.86x = 16,711.24 × 4,900.11
  4. Step 4: Simplify right side
    11,138.86x = 81,886,914.24
  5. Step 5: Solve for x
    x = 81,886,914.24/11,138.86
  6. Step 6: Final answer
    x = 7,351.46

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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.