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Finding the Fourth Proportional to 10,512.73, 15,765.24 and 3,491.45

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Solution

The fourth proportional to 10,512.73, 15,765.24 and 3,491.45 is: 5,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.73 : 15,765.24 = 3,491.45 : x
  2. Step 2: Convert to fraction form
    10,512.73/15,765.24 = 3,491.45/x
  3. Step 3: Cross multiply
    10,512.73x = 15,765.24 × 3,491.45
  4. Step 4: Simplify right side
    10,512.73x = 55,043,468.37
  5. Step 5: Solve for x
    x = 55,043,468.37/10,512.73
  6. Step 6: Final answer
    x = 5,235.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.