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Finding the Fourth Proportional to 11,838.34, 16,336.74 and 6,533.02

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Solution

The fourth proportional to 11,838.34, 16,336.74 and 6,533.02 is: 9,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.34 : 16,336.74 = 6,533.02 : x
  2. Step 2: Convert to fraction form
    11,838.34/16,336.74 = 6,533.02/x
  3. Step 3: Cross multiply
    11,838.34x = 16,336.74 × 6,533.02
  4. Step 4: Simplify right side
    11,838.34x = 106,728,249.15
  5. Step 5: Solve for x
    x = 106,728,249.15/11,838.34
  6. Step 6: Final answer
    x = 9,015.47

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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.