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Finding the Fourth Proportional to 8,424.53, 12,636.72 and 2,184.53

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Solution

The fourth proportional to 8,424.53, 12,636.72 and 2,184.53 is: 3,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.53 : 12,636.72 = 2,184.53 : x
  2. Step 2: Convert to fraction form
    8,424.53/12,636.72 = 2,184.53/x
  3. Step 3: Cross multiply
    8,424.53x = 12,636.72 × 2,184.53
  4. Step 4: Simplify right side
    8,424.53x = 27,605,230.76
  5. Step 5: Solve for x
    x = 27,605,230.76/8,424.53
  6. Step 6: Final answer
    x = 3,276.77

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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.