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Finding the Fourth Proportional to 8,206.00, 12,298.61 and 5,243.29

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Solution

The fourth proportional to 8,206.00, 12,298.61 and 5,243.29 is: 7,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.00 : 12,298.61 = 5,243.29 : x
  2. Step 2: Convert to fraction form
    8,206.00/12,298.61 = 5,243.29/x
  3. Step 3: Cross multiply
    8,206.00x = 12,298.61 × 5,243.29
  4. Step 4: Simplify right side
    8,206.00x = 64,485,232.92
  5. Step 5: Solve for x
    x = 64,485,232.92/8,206.00
  6. Step 6: Final answer
    x = 7,858.31

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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.