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Finding the Fourth Proportional to 10,212.44, 14,093.06 and 5,736.08

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Solution

The fourth proportional to 10,212.44, 14,093.06 and 5,736.08 is: 7,915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.44 : 14,093.06 = 5,736.08 : x
  2. Step 2: Convert to fraction form
    10,212.44/14,093.06 = 5,736.08/x
  3. Step 3: Cross multiply
    10,212.44x = 14,093.06 × 5,736.08
  4. Step 4: Simplify right side
    10,212.44x = 80,838,926.16
  5. Step 5: Solve for x
    x = 80,838,926.16/10,212.44
  6. Step 6: Final answer
    x = 7,915.73

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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.