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Finding the Fourth Proportional to 8,142.54, 11,236.73 and 4,416.54

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Solution

The fourth proportional to 8,142.54, 11,236.73 and 4,416.54 is: 6,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.54 : 11,236.73 = 4,416.54 : x
  2. Step 2: Convert to fraction form
    8,142.54/11,236.73 = 4,416.54/x
  3. Step 3: Cross multiply
    8,142.54x = 11,236.73 × 4,416.54
  4. Step 4: Simplify right side
    8,142.54x = 49,627,445.43
  5. Step 5: Solve for x
    x = 49,627,445.43/8,142.54
  6. Step 6: Final answer
    x = 6,094.84

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