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Finding the Fourth Proportional to 10,471.32, 15,709.31 and 3,453.51

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Solution

The fourth proportional to 10,471.32, 15,709.31 and 3,453.51 is: 5,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.32 : 15,709.31 = 3,453.51 : x
  2. Step 2: Convert to fraction form
    10,471.32/15,709.31 = 3,453.51/x
  3. Step 3: Cross multiply
    10,471.32x = 15,709.31 × 3,453.51
  4. Step 4: Simplify right side
    10,471.32x = 54,252,241.91
  5. Step 5: Solve for x
    x = 54,252,241.91/10,471.32
  6. Step 6: Final answer
    x = 5,181.03

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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.