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Finding the Fourth Proportional to 10,078.44, 13,913.82 and 7,713.24

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Solution

The fourth proportional to 10,078.44, 13,913.82 and 7,713.24 is: 10,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.44 : 13,913.82 = 7,713.24 : x
  2. Step 2: Convert to fraction form
    10,078.44/13,913.82 = 7,713.24/x
  3. Step 3: Cross multiply
    10,078.44x = 13,913.82 × 7,713.24
  4. Step 4: Simplify right side
    10,078.44x = 107,320,632.98
  5. Step 5: Solve for x
    x = 107,320,632.98/10,078.44
  6. Step 6: Final answer
    x = 10,648.54

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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.