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Finding the Fourth Proportional to 8,584.88, 11,847.00 and 4,808.02

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Solution

The fourth proportional to 8,584.88, 11,847.00 and 4,808.02 is: 6,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.88 : 11,847.00 = 4,808.02 : x
  2. Step 2: Convert to fraction form
    8,584.88/11,847.00 = 4,808.02/x
  3. Step 3: Cross multiply
    8,584.88x = 11,847.00 × 4,808.02
  4. Step 4: Simplify right side
    8,584.88x = 56,960,568.75
  5. Step 5: Solve for x
    x = 56,960,568.75/8,584.88
  6. Step 6: Final answer
    x = 6,634.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.