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Finding the Fourth Proportional to 10,321.22, 14,243.48 and 5,844.96

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Solution

The fourth proportional to 10,321.22, 14,243.48 and 5,844.96 is: 8,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.22 : 14,243.48 = 5,844.96 : x
  2. Step 2: Convert to fraction form
    10,321.22/14,243.48 = 5,844.96/x
  3. Step 3: Cross multiply
    10,321.22x = 14,243.48 × 5,844.96
  4. Step 4: Simplify right side
    10,321.22x = 83,252,563.55
  5. Step 5: Solve for x
    x = 83,252,563.55/10,321.22
  6. Step 6: Final answer
    x = 8,066.15

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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.