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Finding the Fourth Proportional to 7,452, 11,181.60 and 2,838.24

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Solution

The fourth proportional to 7,452, 11,181.60 and 2,838.24 is: 4,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452 : 11,181.60 = 2,838.24 : x
  2. Step 2: Convert to fraction form
    7,452/11,181.60 = 2,838.24/x
  3. Step 3: Cross multiply
    7,452x = 11,181.60 × 2,838.24
  4. Step 4: Simplify right side
    7,452x = 31,736,064.38
  5. Step 5: Solve for x
    x = 31,736,064.38/7,452
  6. Step 6: Final answer
    x = 4,258.73

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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.