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Finding the Fourth Proportional to 11,682.49, 17,513.32 and 4,285.22

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Solution

The fourth proportional to 11,682.49, 17,513.32 and 4,285.22 is: 6,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.49 : 17,513.32 = 4,285.22 : x
  2. Step 2: Convert to fraction form
    11,682.49/17,513.32 = 4,285.22/x
  3. Step 3: Cross multiply
    11,682.49x = 17,513.32 × 4,285.22
  4. Step 4: Simplify right side
    11,682.49x = 75,048,407.70
  5. Step 5: Solve for x
    x = 75,048,407.70/11,682.49
  6. Step 6: Final answer
    x = 6,424.01

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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.