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Finding the Fourth Proportional to 7,325, 10,108.50 and 4,013

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Solution

The fourth proportional to 7,325, 10,108.50 and 4,013 is: 5,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325 : 10,108.50 = 4,013 : x
  2. Step 2: Convert to fraction form
    7,325/10,108.50 = 4,013/x
  3. Step 3: Cross multiply
    7,325x = 10,108.50 × 4,013
  4. Step 4: Simplify right side
    7,325x = 40,565,410.50
  5. Step 5: Solve for x
    x = 40,565,410.50/7,325
  6. Step 6: Final answer
    x = 5,537.94

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Why These Related Problems?

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