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Finding the Fourth Proportional to 8,266.02, 12,399.05 and 6,802.11

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Solution

The fourth proportional to 8,266.02, 12,399.05 and 6,802.11 is: 10,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.02 : 12,399.05 = 6,802.11 : x
  2. Step 2: Convert to fraction form
    8,266.02/12,399.05 = 6,802.11/x
  3. Step 3: Cross multiply
    8,266.02x = 12,399.05 × 6,802.11
  4. Step 4: Simplify right side
    8,266.02x = 84,339,667.98
  5. Step 5: Solve for x
    x = 84,339,667.98/8,266.02
  6. Step 6: Final answer
    x = 10,203.18

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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.