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Finding the Fourth Proportional to 8,616.58, 12,926.12 and 3,069.50

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Solution

The fourth proportional to 8,616.58, 12,926.12 and 3,069.50 is: 4,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.58 : 12,926.12 = 3,069.50 : x
  2. Step 2: Convert to fraction form
    8,616.58/12,926.12 = 3,069.50/x
  3. Step 3: Cross multiply
    8,616.58x = 12,926.12 × 3,069.50
  4. Step 4: Simplify right side
    8,616.58x = 39,676,645.36
  5. Step 5: Solve for x
    x = 39,676,645.36/8,616.58
  6. Step 6: Final answer
    x = 4,604.69

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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.