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Finding the Fourth Proportional to 8,529.57, 12,790.98 and 4,086

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Solution

The fourth proportional to 8,529.57, 12,790.98 and 4,086 is: 6,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.57 : 12,790.98 = 4,086 : x
  2. Step 2: Convert to fraction form
    8,529.57/12,790.98 = 4,086/x
  3. Step 3: Cross multiply
    8,529.57x = 12,790.98 × 4,086
  4. Step 4: Simplify right side
    8,529.57x = 52,263,944.28
  5. Step 5: Solve for x
    x = 52,263,944.28/8,529.57
  6. Step 6: Final answer
    x = 6,127.38

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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.