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Finding the Fourth Proportional to 8,124.52, 12,178.02 and 3,443.44

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Solution

The fourth proportional to 8,124.52, 12,178.02 and 3,443.44 is: 5,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.52 : 12,178.02 = 3,443.44 : x
  2. Step 2: Convert to fraction form
    8,124.52/12,178.02 = 3,443.44/x
  3. Step 3: Cross multiply
    8,124.52x = 12,178.02 × 3,443.44
  4. Step 4: Simplify right side
    8,124.52x = 41,934,281.19
  5. Step 5: Solve for x
    x = 41,934,281.19/8,124.52
  6. Step 6: Final answer
    x = 5,161.45

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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.