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Finding the Fourth Proportional to 10,896.40, 16,341 and 3,499.08

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Solution

The fourth proportional to 10,896.40, 16,341 and 3,499.08 is: 5,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.40 : 16,341 = 3,499.08 : x
  2. Step 2: Convert to fraction form
    10,896.40/16,341 = 3,499.08/x
  3. Step 3: Cross multiply
    10,896.40x = 16,341 × 3,499.08
  4. Step 4: Simplify right side
    10,896.40x = 57,178,466.28
  5. Step 5: Solve for x
    x = 57,178,466.28/10,896.40
  6. Step 6: Final answer
    x = 5,247.46

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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.