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Finding the Fourth Proportional to 8,584.94, 12,882.29 and 4,636.15

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Solution

The fourth proportional to 8,584.94, 12,882.29 and 4,636.15 is: 6,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.94 : 12,882.29 = 4,636.15 : x
  2. Step 2: Convert to fraction form
    8,584.94/12,882.29 = 4,636.15/x
  3. Step 3: Cross multiply
    8,584.94x = 12,882.29 × 4,636.15
  4. Step 4: Simplify right side
    8,584.94x = 59,724,173.40
  5. Step 5: Solve for x
    x = 59,724,173.40/8,584.94
  6. Step 6: Final answer
    x = 6,956.85

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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.