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Finding the Fourth Proportional to 10,447.45, 15,674.42 and 3,427.52

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Solution

The fourth proportional to 10,447.45, 15,674.42 and 3,427.52 is: 5,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.45 : 15,674.42 = 3,427.52 : x
  2. Step 2: Convert to fraction form
    10,447.45/15,674.42 = 3,427.52/x
  3. Step 3: Cross multiply
    10,447.45x = 15,674.42 × 3,427.52
  4. Step 4: Simplify right side
    10,447.45x = 53,724,318.24
  5. Step 5: Solve for x
    x = 53,724,318.24/10,447.45
  6. Step 6: Final answer
    x = 5,142.34

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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.