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Finding the Fourth Proportional to 8,511.54, 12,767.31 and 2,588.47

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Solution

The fourth proportional to 8,511.54, 12,767.31 and 2,588.47 is: 3,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.54 : 12,767.31 = 2,588.47 : x
  2. Step 2: Convert to fraction form
    8,511.54/12,767.31 = 2,588.47/x
  3. Step 3: Cross multiply
    8,511.54x = 12,767.31 × 2,588.47
  4. Step 4: Simplify right side
    8,511.54x = 33,047,798.92
  5. Step 5: Solve for x
    x = 33,047,798.92/8,511.54
  6. Step 6: Final answer
    x = 3,882.71

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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.