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Finding the Fourth Proportional to 10,245.78, 14,138.34 and 5,768.64

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Solution

The fourth proportional to 10,245.78, 14,138.34 and 5,768.64 is: 7,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.78 : 14,138.34 = 5,768.64 : x
  2. Step 2: Convert to fraction form
    10,245.78/14,138.34 = 5,768.64/x
  3. Step 3: Cross multiply
    10,245.78x = 14,138.34 × 5,768.64
  4. Step 4: Simplify right side
    10,245.78x = 81,558,993.66
  5. Step 5: Solve for x
    x = 81,558,993.66/10,245.78
  6. Step 6: Final answer
    x = 7,960.25

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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.