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Finding the Fourth Proportional to 8,128.68, 12,196.70 and 3,449.96

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Solution

The fourth proportional to 8,128.68, 12,196.70 and 3,449.96 is: 5,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.68 : 12,196.70 = 3,449.96 : x
  2. Step 2: Convert to fraction form
    8,128.68/12,196.70 = 3,449.96/x
  3. Step 3: Cross multiply
    8,128.68x = 12,196.70 × 3,449.96
  4. Step 4: Simplify right side
    8,128.68x = 42,078,127.13
  5. Step 5: Solve for x
    x = 42,078,127.13/8,128.68
  6. Step 6: Final answer
    x = 5,176.50

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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.