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Finding the Fourth Proportional to 8,206.55, 11,323.21 and 4,847.07

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Solution

The fourth proportional to 8,206.55, 11,323.21 and 4,847.07 is: 6,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.55 : 11,323.21 = 4,847.07 : x
  2. Step 2: Convert to fraction form
    8,206.55/11,323.21 = 4,847.07/x
  3. Step 3: Cross multiply
    8,206.55x = 11,323.21 × 4,847.07
  4. Step 4: Simplify right side
    8,206.55x = 54,884,391.49
  5. Step 5: Solve for x
    x = 54,884,391.49/8,206.55
  6. Step 6: Final answer
    x = 6,687.88

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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.