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Finding the Fourth Proportional to 7,581.96, 11,369.46 and 3,197.01

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Solution

The fourth proportional to 7,581.96, 11,369.46 and 3,197.01 is: 4,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.96 : 11,369.46 = 3,197.01 : x
  2. Step 2: Convert to fraction form
    7,581.96/11,369.46 = 3,197.01/x
  3. Step 3: Cross multiply
    7,581.96x = 11,369.46 × 3,197.01
  4. Step 4: Simplify right side
    7,581.96x = 36,348,277.31
  5. Step 5: Solve for x
    x = 36,348,277.31/7,581.96
  6. Step 6: Final answer
    x = 4,794.05

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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.