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Finding the Fourth Proportional to 8,472.09, 12,708.50 and 3,206.59

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Solution

The fourth proportional to 8,472.09, 12,708.50 and 3,206.59 is: 4,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.09 : 12,708.50 = 3,206.59 : x
  2. Step 2: Convert to fraction form
    8,472.09/12,708.50 = 3,206.59/x
  3. Step 3: Cross multiply
    8,472.09x = 12,708.50 × 3,206.59
  4. Step 4: Simplify right side
    8,472.09x = 40,750,901.21
  5. Step 5: Solve for x
    x = 40,750,901.21/8,472.09
  6. Step 6: Final answer
    x = 4,810.02

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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.