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Finding the Fourth Proportional to 8,682.50, 13,024.40 and 3,488.39

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Solution

The fourth proportional to 8,682.50, 13,024.40 and 3,488.39 is: 5,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.50 : 13,024.40 = 3,488.39 : x
  2. Step 2: Convert to fraction form
    8,682.50/13,024.40 = 3,488.39/x
  3. Step 3: Cross multiply
    8,682.50x = 13,024.40 × 3,488.39
  4. Step 4: Simplify right side
    8,682.50x = 45,434,169.27
  5. Step 5: Solve for x
    x = 45,434,169.27/8,682.50
  6. Step 6: Final answer
    x = 5,232.84

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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.