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Finding the Fourth Proportional to 7,740.71, 10,682.30 and 4,383.43

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Solution

The fourth proportional to 7,740.71, 10,682.30 and 4,383.43 is: 6,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.71 : 10,682.30 = 4,383.43 : x
  2. Step 2: Convert to fraction form
    7,740.71/10,682.30 = 4,383.43/x
  3. Step 3: Cross multiply
    7,740.71x = 10,682.30 × 4,383.43
  4. Step 4: Simplify right side
    7,740.71x = 46,825,114.29
  5. Step 5: Solve for x
    x = 46,825,114.29/7,740.71
  6. Step 6: Final answer
    x = 6,049.20

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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.