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Finding the Fourth Proportional to 10,464.54, 14,441.97 and 5,749.73

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Solution

The fourth proportional to 10,464.54, 14,441.97 and 5,749.73 is: 7,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.54 : 14,441.97 = 5,749.73 : x
  2. Step 2: Convert to fraction form
    10,464.54/14,441.97 = 5,749.73/x
  3. Step 3: Cross multiply
    10,464.54x = 14,441.97 × 5,749.73
  4. Step 4: Simplify right side
    10,464.54x = 83,037,355.96
  5. Step 5: Solve for x
    x = 83,037,355.96/10,464.54
  6. Step 6: Final answer
    x = 7,935.12

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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.