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Finding the Fourth Proportional to 7,873.12, 11,816.97 and 3,980.26

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Solution

The fourth proportional to 7,873.12, 11,816.97 and 3,980.26 is: 5,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.12 : 11,816.97 = 3,980.26 : x
  2. Step 2: Convert to fraction form
    7,873.12/11,816.97 = 3,980.26/x
  3. Step 3: Cross multiply
    7,873.12x = 11,816.97 × 3,980.26
  4. Step 4: Simplify right side
    7,873.12x = 47,034,613.01
  5. Step 5: Solve for x
    x = 47,034,613.01/7,873.12
  6. Step 6: Final answer
    x = 5,974.08

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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.