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Finding the Fourth Proportional to 7,871.87, 11,807.81 and 2,677.75

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Solution

The fourth proportional to 7,871.87, 11,807.81 and 2,677.75 is: 4,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.87 : 11,807.81 = 2,677.75 : x
  2. Step 2: Convert to fraction form
    7,871.87/11,807.81 = 2,677.75/x
  3. Step 3: Cross multiply
    7,871.87x = 11,807.81 × 2,677.75
  4. Step 4: Simplify right side
    7,871.87x = 31,618,308.11
  5. Step 5: Solve for x
    x = 31,618,308.11/7,871.87
  6. Step 6: Final answer
    x = 4,016.62

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Why These Related Problems?

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