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Finding the Fourth Proportional to 7,414.93, 10,232.30 and 4,057.66

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Solution

The fourth proportional to 7,414.93, 10,232.30 and 4,057.66 is: 5,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.93 : 10,232.30 = 4,057.66 : x
  2. Step 2: Convert to fraction form
    7,414.93/10,232.30 = 4,057.66/x
  3. Step 3: Cross multiply
    7,414.93x = 10,232.30 × 4,057.66
  4. Step 4: Simplify right side
    7,414.93x = 41,519,174.13
  5. Step 5: Solve for x
    x = 41,519,174.13/7,414.93
  6. Step 6: Final answer
    x = 5,599.40

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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.