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Finding the Fourth Proportional to 8,144.64, 11,236.24 and 5,492.88

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Solution

The fourth proportional to 8,144.64, 11,236.24 and 5,492.88 is: 7,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.64 : 11,236.24 = 5,492.88 : x
  2. Step 2: Convert to fraction form
    8,144.64/11,236.24 = 5,492.88/x
  3. Step 3: Cross multiply
    8,144.64x = 11,236.24 × 5,492.88
  4. Step 4: Simplify right side
    8,144.64x = 61,719,317.97
  5. Step 5: Solve for x
    x = 61,719,317.97/8,144.64
  6. Step 6: Final answer
    x = 7,577.91

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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.