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Finding the Fourth Proportional to 11,934.81, 16,477.63 and 8,164.26

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Solution

The fourth proportional to 11,934.81, 16,477.63 and 8,164.26 is: 11,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934.81 : 16,477.63 = 8,164.26 : x
  2. Step 2: Convert to fraction form
    11,934.81/16,477.63 = 8,164.26/x
  3. Step 3: Cross multiply
    11,934.81x = 16,477.63 × 8,164.26
  4. Step 4: Simplify right side
    11,934.81x = 134,527,635.09
  5. Step 5: Solve for x
    x = 134,527,635.09/11,934.81
  6. Step 6: Final answer
    x = 11,271.87

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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.