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Finding the Fourth Proportional to 11,627.70, 17,442.74 and 3,728.26

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Solution

The fourth proportional to 11,627.70, 17,442.74 and 3,728.26 is: 5,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.70 : 17,442.74 = 3,728.26 : x
  2. Step 2: Convert to fraction form
    11,627.70/17,442.74 = 3,728.26/x
  3. Step 3: Cross multiply
    11,627.70x = 17,442.74 × 3,728.26
  4. Step 4: Simplify right side
    11,627.70x = 65,031,069.83
  5. Step 5: Solve for x
    x = 65,031,069.83/11,627.70
  6. Step 6: Final answer
    x = 5,592.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.