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Finding the Fourth Proportional to 8,124.47, 12,178.50 and 3,197.57

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Solution

The fourth proportional to 8,124.47, 12,178.50 and 3,197.57 is: 4,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.47 : 12,178.50 = 3,197.57 : x
  2. Step 2: Convert to fraction form
    8,124.47/12,178.50 = 3,197.57/x
  3. Step 3: Cross multiply
    8,124.47x = 12,178.50 × 3,197.57
  4. Step 4: Simplify right side
    8,124.47x = 38,941,533.36
  5. Step 5: Solve for x
    x = 38,941,533.36/8,124.47
  6. Step 6: Final answer
    x = 4,793.12

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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.