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Finding the Fourth Proportional to 8,354.67, 12,532.05 and 2,511.60

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Solution

The fourth proportional to 8,354.67, 12,532.05 and 2,511.60 is: 3,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.67 : 12,532.05 = 2,511.60 : x
  2. Step 2: Convert to fraction form
    8,354.67/12,532.05 = 2,511.60/x
  3. Step 3: Cross multiply
    8,354.67x = 12,532.05 × 2,511.60
  4. Step 4: Simplify right side
    8,354.67x = 31,475,496.78
  5. Step 5: Solve for x
    x = 31,475,496.78/8,354.67
  6. Step 6: Final answer
    x = 3,767.41

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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.