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Finding the Fourth Proportional to 7,740.67, 10,682.24 and 4,383.42

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Solution

The fourth proportional to 7,740.67, 10,682.24 and 4,383.42 is: 6,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.67 : 10,682.24 = 4,383.42 : x
  2. Step 2: Convert to fraction form
    7,740.67/10,682.24 = 4,383.42/x
  3. Step 3: Cross multiply
    7,740.67x = 10,682.24 × 4,383.42
  4. Step 4: Simplify right side
    7,740.67x = 46,824,744.46
  5. Step 5: Solve for x
    x = 46,824,744.46/7,740.67
  6. Step 6: Final answer
    x = 6,049.18

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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.