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Finding the Fourth Proportional to 10,474.37, 15,708.22 and 3,453.08

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Solution

The fourth proportional to 10,474.37, 15,708.22 and 3,453.08 is: 5,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.37 : 15,708.22 = 3,453.08 : x
  2. Step 2: Convert to fraction form
    10,474.37/15,708.22 = 3,453.08/x
  3. Step 3: Cross multiply
    10,474.37x = 15,708.22 × 3,453.08
  4. Step 4: Simplify right side
    10,474.37x = 54,241,740.32
  5. Step 5: Solve for x
    x = 54,241,740.32/10,474.37
  6. Step 6: Final answer
    x = 5,178.52

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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.