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Finding the Fourth Proportional to 7,072.80, 10,609.20 and 6,716.40

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Solution

The fourth proportional to 7,072.80, 10,609.20 and 6,716.40 is: 10,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.80 : 10,609.20 = 6,716.40 : x
  2. Step 2: Convert to fraction form
    7,072.80/10,609.20 = 6,716.40/x
  3. Step 3: Cross multiply
    7,072.80x = 10,609.20 × 6,716.40
  4. Step 4: Simplify right side
    7,072.80x = 71,255,630.88
  5. Step 5: Solve for x
    x = 71,255,630.88/7,072.80
  6. Step 6: Final answer
    x = 10,074.60

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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.