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Finding the Fourth Proportional to 8,501.87, 12,756.98 and 3,825.18

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Solution

The fourth proportional to 8,501.87, 12,756.98 and 3,825.18 is: 5,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.87 : 12,756.98 = 3,825.18 : x
  2. Step 2: Convert to fraction form
    8,501.87/12,756.98 = 3,825.18/x
  3. Step 3: Cross multiply
    8,501.87x = 12,756.98 × 3,825.18
  4. Step 4: Simplify right side
    8,501.87x = 48,797,725.63
  5. Step 5: Solve for x
    x = 48,797,725.63/8,501.87
  6. Step 6: Final answer
    x = 5,739.65

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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.