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Finding the Fourth Proportional to 8,142.64, 11,236.84 and 4,416.64

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Solution

The fourth proportional to 8,142.64, 11,236.84 and 4,416.64 is: 6,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.64 : 11,236.84 = 4,416.64 : x
  2. Step 2: Convert to fraction form
    8,142.64/11,236.84 = 4,416.64/x
  3. Step 3: Cross multiply
    8,142.64x = 11,236.84 × 4,416.64
  4. Step 4: Simplify right side
    8,142.64x = 49,629,077.02
  5. Step 5: Solve for x
    x = 49,629,077.02/8,142.64
  6. Step 6: Final answer
    x = 6,094.96

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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.