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Finding the Fourth Proportional to 7,249.77, 10,004.00 and 4,105.95

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Solution

The fourth proportional to 7,249.77, 10,004.00 and 4,105.95 is: 5,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.77 : 10,004.00 = 4,105.95 : x
  2. Step 2: Convert to fraction form
    7,249.77/10,004.00 = 4,105.95/x
  3. Step 3: Cross multiply
    7,249.77x = 10,004.00 × 4,105.95
  4. Step 4: Simplify right side
    7,249.77x = 41,075,903.27
  5. Step 5: Solve for x
    x = 41,075,903.27/7,249.77
  6. Step 6: Final answer
    x = 5,665.82

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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.