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Finding the Fourth Proportional to 8,488.72, 12,733.76 and 2,645.38

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Solution

The fourth proportional to 8,488.72, 12,733.76 and 2,645.38 is: 3,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.72 : 12,733.76 = 2,645.38 : x
  2. Step 2: Convert to fraction form
    8,488.72/12,733.76 = 2,645.38/x
  3. Step 3: Cross multiply
    8,488.72x = 12,733.76 × 2,645.38
  4. Step 4: Simplify right side
    8,488.72x = 33,685,634.03
  5. Step 5: Solve for x
    x = 33,685,634.03/8,488.72
  6. Step 6: Final answer
    x = 3,968.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.