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Finding the Fourth Proportional to 7,147.34, 10,732.90 and 4,822.32

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Solution

The fourth proportional to 7,147.34, 10,732.90 and 4,822.32 is: 7,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.34 : 10,732.90 = 4,822.32 : x
  2. Step 2: Convert to fraction form
    7,147.34/10,732.90 = 4,822.32/x
  3. Step 3: Cross multiply
    7,147.34x = 10,732.90 × 4,822.32
  4. Step 4: Simplify right side
    7,147.34x = 51,757,478.33
  5. Step 5: Solve for x
    x = 51,757,478.33/7,147.34
  6. Step 6: Final answer
    x = 7,241.50

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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.