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Finding the Fourth Proportional to 7,324.64, 10,986.50 and 3,161.72

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Solution

The fourth proportional to 7,324.64, 10,986.50 and 3,161.72 is: 4,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.64 : 10,986.50 = 3,161.72 : x
  2. Step 2: Convert to fraction form
    7,324.64/10,986.50 = 3,161.72/x
  3. Step 3: Cross multiply
    7,324.64x = 10,986.50 × 3,161.72
  4. Step 4: Simplify right side
    7,324.64x = 34,736,272.15
  5. Step 5: Solve for x
    x = 34,736,272.15/7,324.64
  6. Step 6: Final answer
    x = 4,742.39

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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.