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Finding the Fourth Proportional to 8,184.65, 12,276.71 and 2,341.28

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Solution

The fourth proportional to 8,184.65, 12,276.71 and 2,341.28 is: 3,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.65 : 12,276.71 = 2,341.28 : x
  2. Step 2: Convert to fraction form
    8,184.65/12,276.71 = 2,341.28/x
  3. Step 3: Cross multiply
    8,184.65x = 12,276.71 × 2,341.28
  4. Step 4: Simplify right side
    8,184.65x = 28,743,142.50
  5. Step 5: Solve for x
    x = 28,743,142.50/8,184.65
  6. Step 6: Final answer
    x = 3,511.84

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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.