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Finding the Fourth Proportional to 7,353, 11,037.60 and 3,897.54

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Solution

The fourth proportional to 7,353, 11,037.60 and 3,897.54 is: 5,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353 : 11,037.60 = 3,897.54 : x
  2. Step 2: Convert to fraction form
    7,353/11,037.60 = 3,897.54/x
  3. Step 3: Cross multiply
    7,353x = 11,037.60 × 3,897.54
  4. Step 4: Simplify right side
    7,353x = 43,019,487.50
  5. Step 5: Solve for x
    x = 43,019,487.50/7,353
  6. Step 6: Final answer
    x = 5,850.60

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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.