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Finding the Fourth Proportional to 10,213.44, 14,097.12 and 6,023.04

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Solution

The fourth proportional to 10,213.44, 14,097.12 and 6,023.04 is: 8,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.44 : 14,097.12 = 6,023.04 : x
  2. Step 2: Convert to fraction form
    10,213.44/14,097.12 = 6,023.04/x
  3. Step 3: Cross multiply
    10,213.44x = 14,097.12 × 6,023.04
  4. Step 4: Simplify right side
    10,213.44x = 84,907,517.64
  5. Step 5: Solve for x
    x = 84,907,517.64/10,213.44
  6. Step 6: Final answer
    x = 8,313.31

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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.