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Finding the Fourth Proportional to 10,414.94, 14,372.62 and 5,699.22

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Solution

The fourth proportional to 10,414.94, 14,372.62 and 5,699.22 is: 7,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.94 : 14,372.62 = 5,699.22 : x
  2. Step 2: Convert to fraction form
    10,414.94/14,372.62 = 5,699.22/x
  3. Step 3: Cross multiply
    10,414.94x = 14,372.62 × 5,699.22
  4. Step 4: Simplify right side
    10,414.94x = 81,912,723.36
  5. Step 5: Solve for x
    x = 81,912,723.36/10,414.94
  6. Step 6: Final answer
    x = 7,864.93

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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.