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Finding the Fourth Proportional to 7,141.82, 9,855.74 and 3,998.60

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Solution

The fourth proportional to 7,141.82, 9,855.74 and 3,998.60 is: 5,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.82 : 9,855.74 = 3,998.60 : x
  2. Step 2: Convert to fraction form
    7,141.82/9,855.74 = 3,998.60/x
  3. Step 3: Cross multiply
    7,141.82x = 9,855.74 × 3,998.60
  4. Step 4: Simplify right side
    7,141.82x = 39,409,161.96
  5. Step 5: Solve for x
    x = 39,409,161.96/7,141.82
  6. Step 6: Final answer
    x = 5,518.08

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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.