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Finding the Fourth Proportional to 8,145.87, 12,210.48 and 3,208.71

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Solution

The fourth proportional to 8,145.87, 12,210.48 and 3,208.71 is: 4,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.87 : 12,210.48 = 3,208.71 : x
  2. Step 2: Convert to fraction form
    8,145.87/12,210.48 = 3,208.71/x
  3. Step 3: Cross multiply
    8,145.87x = 12,210.48 × 3,208.71
  4. Step 4: Simplify right side
    8,145.87x = 39,179,935.07
  5. Step 5: Solve for x
    x = 39,179,935.07/8,145.87
  6. Step 6: Final answer
    x = 4,809.79

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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.