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Finding the Fourth Proportional to 11,838.56, 16,336.88 and 6,533.20

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Solution

The fourth proportional to 11,838.56, 16,336.88 and 6,533.20 is: 9,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.56 : 16,336.88 = 6,533.20 : x
  2. Step 2: Convert to fraction form
    11,838.56/16,336.88 = 6,533.20/x
  3. Step 3: Cross multiply
    11,838.56x = 16,336.88 × 6,533.20
  4. Step 4: Simplify right side
    11,838.56x = 106,732,104.42
  5. Step 5: Solve for x
    x = 106,732,104.42/11,838.56
  6. Step 6: Final answer
    x = 9,015.63

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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.