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Finding the Fourth Proportional to 10,884.12, 16,328.07 and 3,957

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Solution

The fourth proportional to 10,884.12, 16,328.07 and 3,957 is: 5,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.12 : 16,328.07 = 3,957 : x
  2. Step 2: Convert to fraction form
    10,884.12/16,328.07 = 3,957/x
  3. Step 3: Cross multiply
    10,884.12x = 16,328.07 × 3,957
  4. Step 4: Simplify right side
    10,884.12x = 64,610,172.99
  5. Step 5: Solve for x
    x = 64,610,172.99/10,884.12
  6. Step 6: Final answer
    x = 5,936.19

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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.