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Finding the Fourth Proportional to 11,682.61, 16,122.12 and 6,377.51

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Solution

The fourth proportional to 11,682.61, 16,122.12 and 6,377.51 is: 8,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.61 : 16,122.12 = 6,377.51 : x
  2. Step 2: Convert to fraction form
    11,682.61/16,122.12 = 6,377.51/x
  3. Step 3: Cross multiply
    11,682.61x = 16,122.12 × 6,377.51
  4. Step 4: Simplify right side
    11,682.61x = 102,818,981.52
  5. Step 5: Solve for x
    x = 102,818,981.52/11,682.61
  6. Step 6: Final answer
    x = 8,801.03

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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.