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Finding the Fourth Proportional to 11,682.71, 17,513.65 and 4,285.46

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Solution

The fourth proportional to 11,682.71, 17,513.65 and 4,285.46 is: 6,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.71 : 17,513.65 = 4,285.46 : x
  2. Step 2: Convert to fraction form
    11,682.71/17,513.65 = 4,285.46/x
  3. Step 3: Cross multiply
    11,682.71x = 17,513.65 × 4,285.46
  4. Step 4: Simplify right side
    11,682.71x = 75,053,997.16
  5. Step 5: Solve for x
    x = 75,053,997.16/11,682.71
  6. Step 6: Final answer
    x = 6,424.36

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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.