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Finding the Fourth Proportional to 7,311.68, 10,969.64 and 2,631.60

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Solution

The fourth proportional to 7,311.68, 10,969.64 and 2,631.60 is: 3,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.68 : 10,969.64 = 2,631.60 : x
  2. Step 2: Convert to fraction form
    7,311.68/10,969.64 = 2,631.60/x
  3. Step 3: Cross multiply
    7,311.68x = 10,969.64 × 2,631.60
  4. Step 4: Simplify right side
    7,311.68x = 28,867,636.62
  5. Step 5: Solve for x
    x = 28,867,636.62/7,311.68
  6. Step 6: Final answer
    x = 3,948.16

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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.