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Finding the Fourth Proportional to 7,235.53, 10,853.71 and 2,793.21

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Solution

The fourth proportional to 7,235.53, 10,853.71 and 2,793.21 is: 4,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.53 : 10,853.71 = 2,793.21 : x
  2. Step 2: Convert to fraction form
    7,235.53/10,853.71 = 2,793.21/x
  3. Step 3: Cross multiply
    7,235.53x = 10,853.71 × 2,793.21
  4. Step 4: Simplify right side
    7,235.53x = 30,316,735.50
  5. Step 5: Solve for x
    x = 30,316,735.50/7,235.53
  6. Step 6: Final answer
    x = 4,189.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.