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Finding the Fourth Proportional to 11,633.56, 17,453.08 and 3,313.70

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Solution

The fourth proportional to 11,633.56, 17,453.08 and 3,313.70 is: 4,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.56 : 17,453.08 = 3,313.70 : x
  2. Step 2: Convert to fraction form
    11,633.56/17,453.08 = 3,313.70/x
  3. Step 3: Cross multiply
    11,633.56x = 17,453.08 × 3,313.70
  4. Step 4: Simplify right side
    11,633.56x = 57,834,271.20
  5. Step 5: Solve for x
    x = 57,834,271.20/11,633.56
  6. Step 6: Final answer
    x = 4,971.33

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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.