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Finding the Fourth Proportional to 10,493.78, 14,481.74 and 5,778.23

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Solution

The fourth proportional to 10,493.78, 14,481.74 and 5,778.23 is: 7,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.78 : 14,481.74 = 5,778.23 : x
  2. Step 2: Convert to fraction form
    10,493.78/14,481.74 = 5,778.23/x
  3. Step 3: Cross multiply
    10,493.78x = 14,481.74 × 5,778.23
  4. Step 4: Simplify right side
    10,493.78x = 83,678,795.63
  5. Step 5: Solve for x
    x = 83,678,795.63/10,493.78
  6. Step 6: Final answer
    x = 7,974.13

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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.