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Finding the Fourth Proportional to 11,533.64, 17,301.10 and 3,213.66

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Solution

The fourth proportional to 11,533.64, 17,301.10 and 3,213.66 is: 4,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.64 : 17,301.10 = 3,213.66 : x
  2. Step 2: Convert to fraction form
    11,533.64/17,301.10 = 3,213.66/x
  3. Step 3: Cross multiply
    11,533.64x = 17,301.10 × 3,213.66
  4. Step 4: Simplify right side
    11,533.64x = 55,599,853.03
  5. Step 5: Solve for x
    x = 55,599,853.03/11,533.64
  6. Step 6: Final answer
    x = 4,820.67

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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.