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Finding the Fourth Proportional to 7,414.75, 10,233.03 and 4,271.59

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Solution

The fourth proportional to 7,414.75, 10,233.03 and 4,271.59 is: 5,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.75 : 10,233.03 = 4,271.59 : x
  2. Step 2: Convert to fraction form
    7,414.75/10,233.03 = 4,271.59/x
  3. Step 3: Cross multiply
    7,414.75x = 10,233.03 × 4,271.59
  4. Step 4: Simplify right side
    7,414.75x = 43,711,308.62
  5. Step 5: Solve for x
    x = 43,711,308.62/7,414.75
  6. Step 6: Final answer
    x = 5,895.18

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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.