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Finding the Fourth Proportional to 8,488.08, 12,735.36 and 3,870

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Solution

The fourth proportional to 8,488.08, 12,735.36 and 3,870 is: 5,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.08 : 12,735.36 = 3,870 : x
  2. Step 2: Convert to fraction form
    8,488.08/12,735.36 = 3,870/x
  3. Step 3: Cross multiply
    8,488.08x = 12,735.36 × 3,870
  4. Step 4: Simplify right side
    8,488.08x = 49,285,843.20
  5. Step 5: Solve for x
    x = 49,285,843.20/8,488.08
  6. Step 6: Final answer
    x = 5,806.48

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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.