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Finding the Fourth Proportional to 7,129.44, 10,678.32 and 5,473.80

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Solution

The fourth proportional to 7,129.44, 10,678.32 and 5,473.80 is: 8,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.44 : 10,678.32 = 5,473.80 : x
  2. Step 2: Convert to fraction form
    7,129.44/10,678.32 = 5,473.80/x
  3. Step 3: Cross multiply
    7,129.44x = 10,678.32 × 5,473.80
  4. Step 4: Simplify right side
    7,129.44x = 58,450,988.02
  5. Step 5: Solve for x
    x = 58,450,988.02/7,129.44
  6. Step 6: Final answer
    x = 8,198.54

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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.