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Finding the Fourth Proportional to 8,211.82, 11,333.15 and 4,855.72

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Solution

The fourth proportional to 8,211.82, 11,333.15 and 4,855.72 is: 6,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.82 : 11,333.15 = 4,855.72 : x
  2. Step 2: Convert to fraction form
    8,211.82/11,333.15 = 4,855.72/x
  3. Step 3: Cross multiply
    8,211.82x = 11,333.15 × 4,855.72
  4. Step 4: Simplify right side
    8,211.82x = 55,030,603.12
  5. Step 5: Solve for x
    x = 55,030,603.12/8,211.82
  6. Step 6: Final answer
    x = 6,701.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.