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Finding the Fourth Proportional to 11,164.89, 16,750.12 and 4,146.90

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Solution

The fourth proportional to 11,164.89, 16,750.12 and 4,146.90 is: 6,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.89 : 16,750.12 = 4,146.90 : x
  2. Step 2: Convert to fraction form
    11,164.89/16,750.12 = 4,146.90/x
  3. Step 3: Cross multiply
    11,164.89x = 16,750.12 × 4,146.90
  4. Step 4: Simplify right side
    11,164.89x = 69,461,072.63
  5. Step 5: Solve for x
    x = 69,461,072.63/11,164.89
  6. Step 6: Final answer
    x = 6,221.38

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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.