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Finding the Fourth Proportional to 10,453.41, 15,679.44 and 3,057.66

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Solution

The fourth proportional to 10,453.41, 15,679.44 and 3,057.66 is: 4,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.41 : 15,679.44 = 3,057.66 : x
  2. Step 2: Convert to fraction form
    10,453.41/15,679.44 = 3,057.66/x
  3. Step 3: Cross multiply
    10,453.41x = 15,679.44 × 3,057.66
  4. Step 4: Simplify right side
    10,453.41x = 47,942,396.51
  5. Step 5: Solve for x
    x = 47,942,396.51/10,453.41
  6. Step 6: Final answer
    x = 4,586.29

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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.