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Finding the Fourth Proportional to 8,307.63, 12,461.49 and 2,067.65

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Solution

The fourth proportional to 8,307.63, 12,461.49 and 2,067.65 is: 3,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.63 : 12,461.49 = 2,067.65 : x
  2. Step 2: Convert to fraction form
    8,307.63/12,461.49 = 2,067.65/x
  3. Step 3: Cross multiply
    8,307.63x = 12,461.49 × 2,067.65
  4. Step 4: Simplify right side
    8,307.63x = 25,765,937.49
  5. Step 5: Solve for x
    x = 25,765,937.49/8,307.63
  6. Step 6: Final answer
    x = 3,101.48

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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.