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Finding the Fourth Proportional to 8,238.02, 12,342.66 and 6,860.22

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Solution

The fourth proportional to 8,238.02, 12,342.66 and 6,860.22 is: 10,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.02 : 12,342.66 = 6,860.22 : x
  2. Step 2: Convert to fraction form
    8,238.02/12,342.66 = 6,860.22/x
  3. Step 3: Cross multiply
    8,238.02x = 12,342.66 × 6,860.22
  4. Step 4: Simplify right side
    8,238.02x = 84,673,362.99
  5. Step 5: Solve for x
    x = 84,673,362.99/8,238.02
  6. Step 6: Final answer
    x = 10,278.36

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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.