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Finding the Fourth Proportional to 7,672.28, 11,513.74 and 3,512.80

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Solution

The fourth proportional to 7,672.28, 11,513.74 and 3,512.80 is: 5,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.28 : 11,513.74 = 3,512.80 : x
  2. Step 2: Convert to fraction form
    7,672.28/11,513.74 = 3,512.80/x
  3. Step 3: Cross multiply
    7,672.28x = 11,513.74 × 3,512.80
  4. Step 4: Simplify right side
    7,672.28x = 40,445,465.87
  5. Step 5: Solve for x
    x = 40,445,465.87/7,672.28
  6. Step 6: Final answer
    x = 5,271.64

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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.