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Finding the Fourth Proportional to 8,419.95, 12,628.49 and 2,496.71

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Solution

The fourth proportional to 8,419.95, 12,628.49 and 2,496.71 is: 3,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.95 : 12,628.49 = 2,496.71 : x
  2. Step 2: Convert to fraction form
    8,419.95/12,628.49 = 2,496.71/x
  3. Step 3: Cross multiply
    8,419.95x = 12,628.49 × 2,496.71
  4. Step 4: Simplify right side
    8,419.95x = 31,529,601.64
  5. Step 5: Solve for x
    x = 31,529,601.64/8,419.95
  6. Step 6: Final answer
    x = 3,744.63

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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.