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Finding the Fourth Proportional to 8,184.98, 12,270.87 and 2,636.84

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Solution

The fourth proportional to 8,184.98, 12,270.87 and 2,636.84 is: 3,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.98 : 12,270.87 = 2,636.84 : x
  2. Step 2: Convert to fraction form
    8,184.98/12,270.87 = 2,636.84/x
  3. Step 3: Cross multiply
    8,184.98x = 12,270.87 × 2,636.84
  4. Step 4: Simplify right side
    8,184.98x = 32,356,259.50
  5. Step 5: Solve for x
    x = 32,356,259.50/8,184.98
  6. Step 6: Final answer
    x = 3,953.13

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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.