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Finding the Fourth Proportional to 7,853.01, 10,834.42 and 5,022.04

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Solution

The fourth proportional to 7,853.01, 10,834.42 and 5,022.04 is: 6,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.01 : 10,834.42 = 5,022.04 : x
  2. Step 2: Convert to fraction form
    7,853.01/10,834.42 = 5,022.04/x
  3. Step 3: Cross multiply
    7,853.01x = 10,834.42 × 5,022.04
  4. Step 4: Simplify right side
    7,853.01x = 54,410,890.62
  5. Step 5: Solve for x
    x = 54,410,890.62/7,853.01
  6. Step 6: Final answer
    x = 6,928.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.