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Finding the Fourth Proportional to 8,211.82, 11,332.29 and 4,485.82

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Solution

The fourth proportional to 8,211.82, 11,332.29 and 4,485.82 is: 6,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.82 : 11,332.29 = 4,485.82 : x
  2. Step 2: Convert to fraction form
    8,211.82/11,332.29 = 4,485.82/x
  3. Step 3: Cross multiply
    8,211.82x = 11,332.29 × 4,485.82
  4. Step 4: Simplify right side
    8,211.82x = 50,834,613.13
  5. Step 5: Solve for x
    x = 50,834,613.13/8,211.82
  6. Step 6: Final answer
    x = 6,190.42

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