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Finding the Fourth Proportional to 8,184.81, 12,277.14 and 3,500.85

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Solution

The fourth proportional to 8,184.81, 12,277.14 and 3,500.85 is: 5,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.81 : 12,277.14 = 3,500.85 : x
  2. Step 2: Convert to fraction form
    8,184.81/12,277.14 = 3,500.85/x
  3. Step 3: Cross multiply
    8,184.81x = 12,277.14 × 3,500.85
  4. Step 4: Simplify right side
    8,184.81x = 42,980,458.48
  5. Step 5: Solve for x
    x = 42,980,458.48/8,184.81
  6. Step 6: Final answer
    x = 5,251.24

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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.