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Finding the Fourth Proportional to 8,399.50, 12,590.74 and 3,471.87

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Solution

The fourth proportional to 8,399.50, 12,590.74 and 3,471.87 is: 5,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.50 : 12,590.74 = 3,471.87 : x
  2. Step 2: Convert to fraction form
    8,399.50/12,590.74 = 3,471.87/x
  3. Step 3: Cross multiply
    8,399.50x = 12,590.74 × 3,471.87
  4. Step 4: Simplify right side
    8,399.50x = 43,713,412.48
  5. Step 5: Solve for x
    x = 43,713,412.48/8,399.50
  6. Step 6: Final answer
    x = 5,204.29

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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.