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Finding the Fourth Proportional to 7,517.27, 11,271.76 and 3,078.07

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Solution

The fourth proportional to 7,517.27, 11,271.76 and 3,078.07 is: 4,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.27 : 11,271.76 = 3,078.07 : x
  2. Step 2: Convert to fraction form
    7,517.27/11,271.76 = 3,078.07/x
  3. Step 3: Cross multiply
    7,517.27x = 11,271.76 × 3,078.07
  4. Step 4: Simplify right side
    7,517.27x = 34,695,230.43
  5. Step 5: Solve for x
    x = 34,695,230.43/7,517.27
  6. Step 6: Final answer
    x = 4,615.40

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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.