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Finding the Fourth Proportional to 10,914.93, 16,365.69 and 4,243.63

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Solution

The fourth proportional to 10,914.93, 16,365.69 and 4,243.63 is: 6,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.93 : 16,365.69 = 4,243.63 : x
  2. Step 2: Convert to fraction form
    10,914.93/16,365.69 = 4,243.63/x
  3. Step 3: Cross multiply
    10,914.93x = 16,365.69 × 4,243.63
  4. Step 4: Simplify right side
    10,914.93x = 69,449,933.05
  5. Step 5: Solve for x
    x = 69,449,933.05/10,914.93
  6. Step 6: Final answer
    x = 6,362.84

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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.