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Finding the Fourth Proportional to 8,111.81, 12,163.93 and 4,215.17

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Solution

The fourth proportional to 8,111.81, 12,163.93 and 4,215.17 is: 6,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.81 : 12,163.93 = 4,215.17 : x
  2. Step 2: Convert to fraction form
    8,111.81/12,163.93 = 4,215.17/x
  3. Step 3: Cross multiply
    8,111.81x = 12,163.93 × 4,215.17
  4. Step 4: Simplify right side
    8,111.81x = 51,273,032.82
  5. Step 5: Solve for x
    x = 51,273,032.82/8,111.81
  6. Step 6: Final answer
    x = 6,320.79

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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.