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Finding the Fourth Proportional to 11,689.74, 16,131.87 and 6,384.57

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Solution

The fourth proportional to 11,689.74, 16,131.87 and 6,384.57 is: 8,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.74 : 16,131.87 = 6,384.57 : x
  2. Step 2: Convert to fraction form
    11,689.74/16,131.87 = 6,384.57/x
  3. Step 3: Cross multiply
    11,689.74x = 16,131.87 × 6,384.57
  4. Step 4: Simplify right side
    11,689.74x = 102,995,053.25
  5. Step 5: Solve for x
    x = 102,995,053.25/11,689.74
  6. Step 6: Final answer
    x = 8,810.72

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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.