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Finding the Fourth Proportional to 11,643, 17,465.08 and 3,324.25

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Solution

The fourth proportional to 11,643, 17,465.08 and 3,324.25 is: 4,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643 : 17,465.08 = 3,324.25 : x
  2. Step 2: Convert to fraction form
    11,643/17,465.08 = 3,324.25/x
  3. Step 3: Cross multiply
    11,643x = 17,465.08 × 3,324.25
  4. Step 4: Simplify right side
    11,643x = 58,058,240.22
  5. Step 5: Solve for x
    x = 58,058,240.22/11,643
  6. Step 6: Final answer
    x = 4,986.54

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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.