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Finding the Fourth Proportional to 8,197.34, 12,296.10 and 2,354

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Solution

The fourth proportional to 8,197.34, 12,296.10 and 2,354 is: 3,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.34 : 12,296.10 = 2,354 : x
  2. Step 2: Convert to fraction form
    8,197.34/12,296.10 = 2,354/x
  3. Step 3: Cross multiply
    8,197.34x = 12,296.10 × 2,354
  4. Step 4: Simplify right side
    8,197.34x = 28,945,019.40
  5. Step 5: Solve for x
    x = 28,945,019.40/8,197.34
  6. Step 6: Final answer
    x = 3,531.03

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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.