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Finding the Fourth Proportional to 8,221.34, 12,332.10 and 2,378

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Solution

The fourth proportional to 8,221.34, 12,332.10 and 2,378 is: 3,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.34 : 12,332.10 = 2,378 : x
  2. Step 2: Convert to fraction form
    8,221.34/12,332.10 = 2,378/x
  3. Step 3: Cross multiply
    8,221.34x = 12,332.10 × 2,378
  4. Step 4: Simplify right side
    8,221.34x = 29,325,733.80
  5. Step 5: Solve for x
    x = 29,325,733.80/8,221.34
  6. Step 6: Final answer
    x = 3,567.03

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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.