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Finding the Fourth Proportional to 7,414.67, 10,232.16 and 4,057.40

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Solution

The fourth proportional to 7,414.67, 10,232.16 and 4,057.40 is: 5,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.67 : 10,232.16 = 4,057.40 : x
  2. Step 2: Convert to fraction form
    7,414.67/10,232.16 = 4,057.40/x
  3. Step 3: Cross multiply
    7,414.67x = 10,232.16 × 4,057.40
  4. Step 4: Simplify right side
    7,414.67x = 41,515,965.98
  5. Step 5: Solve for x
    x = 41,515,965.98/7,414.67
  6. Step 6: Final answer
    x = 5,599.17

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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.