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Finding the Fourth Proportional to 10,094.65, 13,927.82 and 6,060.43

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Solution

The fourth proportional to 10,094.65, 13,927.82 and 6,060.43 is: 8,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.65 : 13,927.82 = 6,060.43 : x
  2. Step 2: Convert to fraction form
    10,094.65/13,927.82 = 6,060.43/x
  3. Step 3: Cross multiply
    10,094.65x = 13,927.82 × 6,060.43
  4. Step 4: Simplify right side
    10,094.65x = 84,408,578.16
  5. Step 5: Solve for x
    x = 84,408,578.16/10,094.65
  6. Step 6: Final answer
    x = 8,361.71

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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.