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Finding the Fourth Proportional to 8,468.04, 12,694.72 and 3,277.56

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Solution

The fourth proportional to 8,468.04, 12,694.72 and 3,277.56 is: 4,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.04 : 12,694.72 = 3,277.56 : x
  2. Step 2: Convert to fraction form
    8,468.04/12,694.72 = 3,277.56/x
  3. Step 3: Cross multiply
    8,468.04x = 12,694.72 × 3,277.56
  4. Step 4: Simplify right side
    8,468.04x = 41,607,706.48
  5. Step 5: Solve for x
    x = 41,607,706.48/8,468.04
  6. Step 6: Final answer
    x = 4,913.50

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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.