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Finding the Fourth Proportional to 10,884.36, 16,316.76 and 3,954

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Solution

The fourth proportional to 10,884.36, 16,316.76 and 3,954 is: 5,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.36 : 16,316.76 = 3,954 : x
  2. Step 2: Convert to fraction form
    10,884.36/16,316.76 = 3,954/x
  3. Step 3: Cross multiply
    10,884.36x = 16,316.76 × 3,954
  4. Step 4: Simplify right side
    10,884.36x = 64,516,469.04
  5. Step 5: Solve for x
    x = 64,516,469.04/10,884.36
  6. Step 6: Final answer
    x = 5,927.45

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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.