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Finding the Fourth Proportional to 7,414.81, 10,232.34 and 4,057.72

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Solution

The fourth proportional to 7,414.81, 10,232.34 and 4,057.72 is: 5,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.81 : 10,232.34 = 4,057.72 : x
  2. Step 2: Convert to fraction form
    7,414.81/10,232.34 = 4,057.72/x
  3. Step 3: Cross multiply
    7,414.81x = 10,232.34 × 4,057.72
  4. Step 4: Simplify right side
    7,414.81x = 41,519,970.66
  5. Step 5: Solve for x
    x = 41,519,970.66/7,414.81
  6. Step 6: Final answer
    x = 5,599.60

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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.