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Finding the Fourth Proportional to 11,682.48, 16,122.04 and 6,377.49

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Solution

The fourth proportional to 11,682.48, 16,122.04 and 6,377.49 is: 8,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.48 : 16,122.04 = 6,377.49 : x
  2. Step 2: Convert to fraction form
    11,682.48/16,122.04 = 6,377.49/x
  3. Step 3: Cross multiply
    11,682.48x = 16,122.04 × 6,377.49
  4. Step 4: Simplify right side
    11,682.48x = 102,818,068.27
  5. Step 5: Solve for x
    x = 102,818,068.27/11,682.48
  6. Step 6: Final answer
    x = 8,801.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.