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Finding the Fourth Proportional to 8,584.59, 12,881.84 and 4,635.92

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Solution

The fourth proportional to 8,584.59, 12,881.84 and 4,635.92 is: 6,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.59 : 12,881.84 = 4,635.92 : x
  2. Step 2: Convert to fraction form
    8,584.59/12,881.84 = 4,635.92/x
  3. Step 3: Cross multiply
    8,584.59x = 12,881.84 × 4,635.92
  4. Step 4: Simplify right side
    8,584.59x = 59,719,115.28
  5. Step 5: Solve for x
    x = 59,719,115.28/8,584.59
  6. Step 6: Final answer
    x = 6,956.55

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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.