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Finding the Fourth Proportional to 7,837.40, 11,756.12 and 1,993.84

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Solution

The fourth proportional to 7,837.40, 11,756.12 and 1,993.84 is: 2,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.40 : 11,756.12 = 1,993.84 : x
  2. Step 2: Convert to fraction form
    7,837.40/11,756.12 = 1,993.84/x
  3. Step 3: Cross multiply
    7,837.40x = 11,756.12 × 1,993.84
  4. Step 4: Simplify right side
    7,837.40x = 23,439,822.30
  5. Step 5: Solve for x
    x = 23,439,822.30/7,837.40
  6. Step 6: Final answer
    x = 2,990.77

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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.