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Finding the Fourth Proportional to 8,584.14, 12,878.14 and 4,635.31

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Solution

The fourth proportional to 8,584.14, 12,878.14 and 4,635.31 is: 6,954.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.14 : 12,878.14 = 4,635.31 : x
  2. Step 2: Convert to fraction form
    8,584.14/12,878.14 = 4,635.31/x
  3. Step 3: Cross multiply
    8,584.14x = 12,878.14 × 4,635.31
  4. Step 4: Simplify right side
    8,584.14x = 59,694,171.12
  5. Step 5: Solve for x
    x = 59,694,171.12/8,584.14
  6. Step 6: Final answer
    x = 6,954.01

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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.