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Finding the Fourth Proportional to 11,138.45, 16,712.28 and 5,211

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Solution

The fourth proportional to 11,138.45, 16,712.28 and 5,211 is: 7,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.45 : 16,712.28 = 5,211 : x
  2. Step 2: Convert to fraction form
    11,138.45/16,712.28 = 5,211/x
  3. Step 3: Cross multiply
    11,138.45x = 16,712.28 × 5,211
  4. Step 4: Simplify right side
    11,138.45x = 87,087,691.08
  5. Step 5: Solve for x
    x = 87,087,691.08/11,138.45
  6. Step 6: Final answer
    x = 7,818.66

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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.