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Finding the Fourth Proportional to 7,111.09, 10,674.15 and 3,993.70

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Solution

The fourth proportional to 7,111.09, 10,674.15 and 3,993.70 is: 5,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.09 : 10,674.15 = 3,993.70 : x
  2. Step 2: Convert to fraction form
    7,111.09/10,674.15 = 3,993.70/x
  3. Step 3: Cross multiply
    7,111.09x = 10,674.15 × 3,993.70
  4. Step 4: Simplify right side
    7,111.09x = 42,629,352.86
  5. Step 5: Solve for x
    x = 42,629,352.86/7,111.09
  6. Step 6: Final answer
    x = 5,994.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.