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Finding the Fourth Proportional to 8,143.81, 11,238.49 and 4,606.94

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Solution

The fourth proportional to 8,143.81, 11,238.49 and 4,606.94 is: 6,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.81 : 11,238.49 = 4,606.94 : x
  2. Step 2: Convert to fraction form
    8,143.81/11,238.49 = 4,606.94/x
  3. Step 3: Cross multiply
    8,143.81x = 11,238.49 × 4,606.94
  4. Step 4: Simplify right side
    8,143.81x = 51,775,049.12
  5. Step 5: Solve for x
    x = 51,775,049.12/8,143.81
  6. Step 6: Final answer
    x = 6,357.60

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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.