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Finding the Fourth Proportional to 8,184.87, 12,277.20 and 2,261.82

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Solution

The fourth proportional to 8,184.87, 12,277.20 and 2,261.82 is: 3,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.87 : 12,277.20 = 2,261.82 : x
  2. Step 2: Convert to fraction form
    8,184.87/12,277.20 = 2,261.82/x
  3. Step 3: Cross multiply
    8,184.87x = 12,277.20 × 2,261.82
  4. Step 4: Simplify right side
    8,184.87x = 27,768,816.50
  5. Step 5: Solve for x
    x = 27,768,816.50/8,184.87
  6. Step 6: Final answer
    x = 3,392.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.