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Finding the Fourth Proportional to 8,124.56, 12,187.76 and 3,193.56

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Solution

The fourth proportional to 8,124.56, 12,187.76 and 3,193.56 is: 4,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.56 : 12,187.76 = 3,193.56 : x
  2. Step 2: Convert to fraction form
    8,124.56/12,187.76 = 3,193.56/x
  3. Step 3: Cross multiply
    8,124.56x = 12,187.76 × 3,193.56
  4. Step 4: Simplify right side
    8,124.56x = 38,922,342.83
  5. Step 5: Solve for x
    x = 38,922,342.83/8,124.56
  6. Step 6: Final answer
    x = 4,790.70

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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.