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Finding the Fourth Proportional to 11,689.82, 16,131.94 and 6,384.72

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Solution

The fourth proportional to 11,689.82, 16,131.94 and 6,384.72 is: 8,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.82 : 16,131.94 = 6,384.72 : x
  2. Step 2: Convert to fraction form
    11,689.82/16,131.94 = 6,384.72/x
  3. Step 3: Cross multiply
    11,689.82x = 16,131.94 × 6,384.72
  4. Step 4: Simplify right side
    11,689.82x = 102,997,919.96
  5. Step 5: Solve for x
    x = 102,997,919.96/11,689.82
  6. Step 6: Final answer
    x = 8,810.91

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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.