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Finding the Fourth Proportional to 11,685.95, 16,126.67 and 6,380.89

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Solution

The fourth proportional to 11,685.95, 16,126.67 and 6,380.89 is: 8,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.95 : 16,126.67 = 6,380.89 : x
  2. Step 2: Convert to fraction form
    11,685.95/16,126.67 = 6,380.89/x
  3. Step 3: Cross multiply
    11,685.95x = 16,126.67 × 6,380.89
  4. Step 4: Simplify right side
    11,685.95x = 102,902,507.34
  5. Step 5: Solve for x
    x = 102,902,507.34/11,685.95
  6. Step 6: Final answer
    x = 8,805.66

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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.