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Finding the Fourth Proportional to 8,419.77, 12,628.29 and 3,977.43

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Solution

The fourth proportional to 8,419.77, 12,628.29 and 3,977.43 is: 5,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.77 : 12,628.29 = 3,977.43 : x
  2. Step 2: Convert to fraction form
    8,419.77/12,628.29 = 3,977.43/x
  3. Step 3: Cross multiply
    8,419.77x = 12,628.29 × 3,977.43
  4. Step 4: Simplify right side
    8,419.77x = 50,228,139.49
  5. Step 5: Solve for x
    x = 50,228,139.49/8,419.77
  6. Step 6: Final answer
    x = 5,965.50

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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.