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Finding the Fourth Proportional to 11,641.36, 16,065.40 and 6,336.40

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Solution

The fourth proportional to 11,641.36, 16,065.40 and 6,336.40 is: 8,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.36 : 16,065.40 = 6,336.40 : x
  2. Step 2: Convert to fraction form
    11,641.36/16,065.40 = 6,336.40/x
  3. Step 3: Cross multiply
    11,641.36x = 16,065.40 × 6,336.40
  4. Step 4: Simplify right side
    11,641.36x = 101,796,800.56
  5. Step 5: Solve for x
    x = 101,796,800.56/11,641.36
  6. Step 6: Final answer
    x = 8,744.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.