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Finding the Fourth Proportional to 8,433.50, 12,650.27 and 2,590.07

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Solution

The fourth proportional to 8,433.50, 12,650.27 and 2,590.07 is: 3,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.50 : 12,650.27 = 2,590.07 : x
  2. Step 2: Convert to fraction form
    8,433.50/12,650.27 = 2,590.07/x
  3. Step 3: Cross multiply
    8,433.50x = 12,650.27 × 2,590.07
  4. Step 4: Simplify right side
    8,433.50x = 32,765,008.62
  5. Step 5: Solve for x
    x = 32,765,008.62/8,433.50
  6. Step 6: Final answer
    x = 3,885.10

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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.