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Finding the Fourth Proportional to 8,511.54, 12,767.93 and 2,271.54

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Solution

The fourth proportional to 8,511.54, 12,767.93 and 2,271.54 is: 3,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.54 : 12,767.93 = 2,271.54 : x
  2. Step 2: Convert to fraction form
    8,511.54/12,767.93 = 2,271.54/x
  3. Step 3: Cross multiply
    8,511.54x = 12,767.93 × 2,271.54
  4. Step 4: Simplify right side
    8,511.54x = 29,002,863.71
  5. Step 5: Solve for x
    x = 29,002,863.71/8,511.54
  6. Step 6: Final answer
    x = 3,407.48

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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.