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Finding the Fourth Proportional to 10,474.85, 15,712.74 and 3,455.47

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Solution

The fourth proportional to 10,474.85, 15,712.74 and 3,455.47 is: 5,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.85 : 15,712.74 = 3,455.47 : x
  2. Step 2: Convert to fraction form
    10,474.85/15,712.74 = 3,455.47/x
  3. Step 3: Cross multiply
    10,474.85x = 15,712.74 × 3,455.47
  4. Step 4: Simplify right side
    10,474.85x = 54,294,896.14
  5. Step 5: Solve for x
    x = 54,294,896.14/10,474.85
  6. Step 6: Final answer
    x = 5,183.36

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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.