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Finding the Fourth Proportional to 8,590.80, 12,865.80 and 4,194.12

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Solution

The fourth proportional to 8,590.80, 12,865.80 and 4,194.12 is: 6,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.80 : 12,865.80 = 4,194.12 : x
  2. Step 2: Convert to fraction form
    8,590.80/12,865.80 = 4,194.12/x
  3. Step 3: Cross multiply
    8,590.80x = 12,865.80 × 4,194.12
  4. Step 4: Simplify right side
    8,590.80x = 53,960,709.10
  5. Step 5: Solve for x
    x = 53,960,709.10/8,590.80
  6. Step 6: Final answer
    x = 6,281.22

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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.