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Finding the Fourth Proportional to 6,871.94, 10,308.45 and 2,711.66

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Solution

The fourth proportional to 6,871.94, 10,308.45 and 2,711.66 is: 4,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.94 : 10,308.45 = 2,711.66 : x
  2. Step 2: Convert to fraction form
    6,871.94/10,308.45 = 2,711.66/x
  3. Step 3: Cross multiply
    6,871.94x = 10,308.45 × 2,711.66
  4. Step 4: Simplify right side
    6,871.94x = 27,953,011.53
  5. Step 5: Solve for x
    x = 27,953,011.53/6,871.94
  6. Step 6: Final answer
    x = 4,067.70

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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.