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Finding the Fourth Proportional to 11,603.20, 15,993.60 and 7,404.16

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Solution

The fourth proportional to 11,603.20, 15,993.60 and 7,404.16 is: 10,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.20 : 15,993.60 = 7,404.16 : x
  2. Step 2: Convert to fraction form
    11,603.20/15,993.60 = 7,404.16/x
  3. Step 3: Cross multiply
    11,603.20x = 15,993.60 × 7,404.16
  4. Step 4: Simplify right side
    11,603.20x = 118,419,173.38
  5. Step 5: Solve for x
    x = 118,419,173.38/11,603.20
  6. Step 6: Final answer
    x = 10,205.73

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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.