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Finding the Fourth Proportional to 8,511.14, 12,755.64 and 4,762.77

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Solution

The fourth proportional to 8,511.14, 12,755.64 and 4,762.77 is: 7,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.14 : 12,755.64 = 4,762.77 : x
  2. Step 2: Convert to fraction form
    8,511.14/12,755.64 = 4,762.77/x
  3. Step 3: Cross multiply
    8,511.14x = 12,755.64 × 4,762.77
  4. Step 4: Simplify right side
    8,511.14x = 60,752,149.55
  5. Step 5: Solve for x
    x = 60,752,149.55/8,511.14
  6. Step 6: Final answer
    x = 7,137.95

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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.