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Finding the Fourth Proportional to 11,533.50, 17,300.25 and 4,138.41

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Solution

The fourth proportional to 11,533.50, 17,300.25 and 4,138.41 is: 6,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.50 : 17,300.25 = 4,138.41 : x
  2. Step 2: Convert to fraction form
    11,533.50/17,300.25 = 4,138.41/x
  3. Step 3: Cross multiply
    11,533.50x = 17,300.25 × 4,138.41
  4. Step 4: Simplify right side
    11,533.50x = 71,595,527.60
  5. Step 5: Solve for x
    x = 71,595,527.60/11,533.50
  6. Step 6: Final answer
    x = 6,207.62

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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.