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Finding the Fourth Proportional to 8,590.96, 12,884.52 and 4,204

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Solution

The fourth proportional to 8,590.96, 12,884.52 and 4,204 is: 6,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.96 : 12,884.52 = 4,204 : x
  2. Step 2: Convert to fraction form
    8,590.96/12,884.52 = 4,204/x
  3. Step 3: Cross multiply
    8,590.96x = 12,884.52 × 4,204
  4. Step 4: Simplify right side
    8,590.96x = 54,166,522.08
  5. Step 5: Solve for x
    x = 54,166,522.08/8,590.96
  6. Step 6: Final answer
    x = 6,305.06

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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.