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Finding the Fourth Proportional to 11,685.70, 16,126.32 and 6,380.64

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Solution

The fourth proportional to 11,685.70, 16,126.32 and 6,380.64 is: 8,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.70 : 16,126.32 = 6,380.64 : x
  2. Step 2: Convert to fraction form
    11,685.70/16,126.32 = 6,380.64/x
  3. Step 3: Cross multiply
    11,685.70x = 16,126.32 × 6,380.64
  4. Step 4: Simplify right side
    11,685.70x = 102,896,242.44
  5. Step 5: Solve for x
    x = 102,896,242.44/11,685.70
  6. Step 6: Final answer
    x = 8,805.31

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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.