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Finding the Fourth Proportional to 8,204.85, 11,322 and 4,619.61

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Solution

The fourth proportional to 8,204.85, 11,322 and 4,619.61 is: 6,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.85 : 11,322 = 4,619.61 : x
  2. Step 2: Convert to fraction form
    8,204.85/11,322 = 4,619.61/x
  3. Step 3: Cross multiply
    8,204.85x = 11,322 × 4,619.61
  4. Step 4: Simplify right side
    8,204.85x = 52,303,224.42
  5. Step 5: Solve for x
    x = 52,303,224.42/8,204.85
  6. Step 6: Final answer
    x = 6,374.67

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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.