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Finding the Fourth Proportional to 8,045.82, 12,068.17 and 2,201.97

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Solution

The fourth proportional to 8,045.82, 12,068.17 and 2,201.97 is: 3,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.82 : 12,068.17 = 2,201.97 : x
  2. Step 2: Convert to fraction form
    8,045.82/12,068.17 = 2,201.97/x
  3. Step 3: Cross multiply
    8,045.82x = 12,068.17 × 2,201.97
  4. Step 4: Simplify right side
    8,045.82x = 26,573,748.29
  5. Step 5: Solve for x
    x = 26,573,748.29/8,045.82
  6. Step 6: Final answer
    x = 3,302.80

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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.