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Finding the Fourth Proportional to 6,578.71, 9,871.71 and 2,682.82

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Solution

The fourth proportional to 6,578.71, 9,871.71 and 2,682.82 is: 4,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.71 : 9,871.71 = 2,682.82 : x
  2. Step 2: Convert to fraction form
    6,578.71/9,871.71 = 2,682.82/x
  3. Step 3: Cross multiply
    6,578.71x = 9,871.71 × 2,682.82
  4. Step 4: Simplify right side
    6,578.71x = 26,484,021.02
  5. Step 5: Solve for x
    x = 26,484,021.02/6,578.71
  6. Step 6: Final answer
    x = 4,025.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.