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Finding the Fourth Proportional to 10,439.82, 14,406.96 and 5,724.12

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Solution

The fourth proportional to 10,439.82, 14,406.96 and 5,724.12 is: 7,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.82 : 14,406.96 = 5,724.12 : x
  2. Step 2: Convert to fraction form
    10,439.82/14,406.96 = 5,724.12/x
  3. Step 3: Cross multiply
    10,439.82x = 14,406.96 × 5,724.12
  4. Step 4: Simplify right side
    10,439.82x = 82,467,167.88
  5. Step 5: Solve for x
    x = 82,467,167.88/10,439.82
  6. Step 6: Final answer
    x = 7,899.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.