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Finding the Fourth Proportional to 7,871.72, 11,805.34 and 2,677.48

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Solution

The fourth proportional to 7,871.72, 11,805.34 and 2,677.48 is: 4,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.72 : 11,805.34 = 2,677.48 : x
  2. Step 2: Convert to fraction form
    7,871.72/11,805.34 = 2,677.48/x
  3. Step 3: Cross multiply
    7,871.72x = 11,805.34 × 2,677.48
  4. Step 4: Simplify right side
    7,871.72x = 31,608,561.74
  5. Step 5: Solve for x
    x = 31,608,561.74/7,871.72
  6. Step 6: Final answer
    x = 4,015.46

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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.