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Finding the Fourth Proportional to 26,880.26, 40,324.64 and 7,160.40

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Solution

The fourth proportional to 26,880.26, 40,324.64 and 7,160.40 is: 10,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,880.26 : 40,324.64 = 7,160.40 : x
  2. Step 2: Convert to fraction form
    26,880.26/40,324.64 = 7,160.40/x
  3. Step 3: Cross multiply
    26,880.26x = 40,324.64 × 7,160.40
  4. Step 4: Simplify right side
    26,880.26x = 288,740,516.45
  5. Step 5: Solve for x
    x = 288,740,516.45/26,880.26
  6. Step 6: Final answer
    x = 10,741.73

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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.