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Finding the Fourth Proportional to 10,321.54, 14,243.91 and 5,845.27

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Solution

The fourth proportional to 10,321.54, 14,243.91 and 5,845.27 is: 8,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.54 : 14,243.91 = 5,845.27 : x
  2. Step 2: Convert to fraction form
    10,321.54/14,243.91 = 5,845.27/x
  3. Step 3: Cross multiply
    10,321.54x = 14,243.91 × 5,845.27
  4. Step 4: Simplify right side
    10,321.54x = 83,259,499.81
  5. Step 5: Solve for x
    x = 83,259,499.81/10,321.54
  6. Step 6: Final answer
    x = 8,066.58

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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.