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Finding the Fourth Proportional to 11,705.94, 16,146.81 and 8,167.86

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Solution

The fourth proportional to 11,705.94, 16,146.81 and 8,167.86 is: 11,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.94 : 16,146.81 = 8,167.86 : x
  2. Step 2: Convert to fraction form
    11,705.94/16,146.81 = 8,167.86/x
  3. Step 3: Cross multiply
    11,705.94x = 16,146.81 × 8,167.86
  4. Step 4: Simplify right side
    11,705.94x = 131,884,883.53
  5. Step 5: Solve for x
    x = 131,884,883.53/11,705.94
  6. Step 6: Final answer
    x = 11,266.49

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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.