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Finding the Fourth Proportional to 10,473.63, 14,453.42 and 5,757.81

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Solution

The fourth proportional to 10,473.63, 14,453.42 and 5,757.81 is: 7,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.63 : 14,453.42 = 5,757.81 : x
  2. Step 2: Convert to fraction form
    10,473.63/14,453.42 = 5,757.81/x
  3. Step 3: Cross multiply
    10,473.63x = 14,453.42 × 5,757.81
  4. Step 4: Simplify right side
    10,473.63x = 83,220,046.21
  5. Step 5: Solve for x
    x = 83,220,046.21/10,473.63
  6. Step 6: Final answer
    x = 7,945.67

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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.