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Finding the Fourth Proportional to 8,614.51, 12,921.24 and 2,770.66

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Solution

The fourth proportional to 8,614.51, 12,921.24 and 2,770.66 is: 4,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.51 : 12,921.24 = 2,770.66 : x
  2. Step 2: Convert to fraction form
    8,614.51/12,921.24 = 2,770.66/x
  3. Step 3: Cross multiply
    8,614.51x = 12,921.24 × 2,770.66
  4. Step 4: Simplify right side
    8,614.51x = 35,800,362.82
  5. Step 5: Solve for x
    x = 35,800,362.82/8,614.51
  6. Step 6: Final answer
    x = 4,155.82

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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.