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Finding the Fourth Proportional to 8,436.22, 12,652.14 and 2,511.50

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Solution

The fourth proportional to 8,436.22, 12,652.14 and 2,511.50 is: 3,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.22 : 12,652.14 = 2,511.50 : x
  2. Step 2: Convert to fraction form
    8,436.22/12,652.14 = 2,511.50/x
  3. Step 3: Cross multiply
    8,436.22x = 12,652.14 × 2,511.50
  4. Step 4: Simplify right side
    8,436.22x = 31,775,849.61
  5. Step 5: Solve for x
    x = 31,775,849.61/8,436.22
  6. Step 6: Final answer
    x = 3,766.60

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Why These Related Problems?

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