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Finding the Fourth Proportional to 7,249.15, 10,004.61 and 4,105

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Solution

The fourth proportional to 7,249.15, 10,004.61 and 4,105 is: 5,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.15 : 10,004.61 = 4,105 : x
  2. Step 2: Convert to fraction form
    7,249.15/10,004.61 = 4,105/x
  3. Step 3: Cross multiply
    7,249.15x = 10,004.61 × 4,105
  4. Step 4: Simplify right side
    7,249.15x = 41,068,924.05
  5. Step 5: Solve for x
    x = 41,068,924.05/7,249.15
  6. Step 6: Final answer
    x = 5,665.34

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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.