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Finding the Fourth Proportional to 7,786.56, 10,745.64 and 4,249.74

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Solution

The fourth proportional to 7,786.56, 10,745.64 and 4,249.74 is: 5,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.56 : 10,745.64 = 4,249.74 : x
  2. Step 2: Convert to fraction form
    7,786.56/10,745.64 = 4,249.74/x
  3. Step 3: Cross multiply
    7,786.56x = 10,745.64 × 4,249.74
  4. Step 4: Simplify right side
    7,786.56x = 45,666,176.13
  5. Step 5: Solve for x
    x = 45,666,176.13/7,786.56
  6. Step 6: Final answer
    x = 5,864.74

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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.