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Finding the Fourth Proportional to 8,525.68, 12,794.01 and 4,140.76

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Solution

The fourth proportional to 8,525.68, 12,794.01 and 4,140.76 is: 6,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.68 : 12,794.01 = 4,140.76 : x
  2. Step 2: Convert to fraction form
    8,525.68/12,794.01 = 4,140.76/x
  3. Step 3: Cross multiply
    8,525.68x = 12,794.01 × 4,140.76
  4. Step 4: Simplify right side
    8,525.68x = 52,976,924.85
  5. Step 5: Solve for x
    x = 52,976,924.85/8,525.68
  6. Step 6: Final answer
    x = 6,213.81

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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.