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Finding the Fourth Proportional to 8,082.58, 12,124.02 and 2,535.80

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Solution

The fourth proportional to 8,082.58, 12,124.02 and 2,535.80 is: 3,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.58 : 12,124.02 = 2,535.80 : x
  2. Step 2: Convert to fraction form
    8,082.58/12,124.02 = 2,535.80/x
  3. Step 3: Cross multiply
    8,082.58x = 12,124.02 × 2,535.80
  4. Step 4: Simplify right side
    8,082.58x = 30,744,089.92
  5. Step 5: Solve for x
    x = 30,744,089.92/8,082.58
  6. Step 6: Final answer
    x = 3,803.75

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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.