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Finding the Fourth Proportional to 7,074.44, 10,540.56 and 6,677

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Solution

The fourth proportional to 7,074.44, 10,540.56 and 6,677 is: 9,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.44 : 10,540.56 = 6,677 : x
  2. Step 2: Convert to fraction form
    7,074.44/10,540.56 = 6,677/x
  3. Step 3: Cross multiply
    7,074.44x = 10,540.56 × 6,677
  4. Step 4: Simplify right side
    7,074.44x = 70,379,319.12
  5. Step 5: Solve for x
    x = 70,379,319.12/7,074.44
  6. Step 6: Final answer
    x = 9,948.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.