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Finding the Fourth Proportional to 8,424.46, 12,636.74 and 2,184.04

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Solution

The fourth proportional to 8,424.46, 12,636.74 and 2,184.04 is: 3,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.46 : 12,636.74 = 2,184.04 : x
  2. Step 2: Convert to fraction form
    8,424.46/12,636.74 = 2,184.04/x
  3. Step 3: Cross multiply
    8,424.46x = 12,636.74 × 2,184.04
  4. Step 4: Simplify right side
    8,424.46x = 27,599,145.63
  5. Step 5: Solve for x
    x = 27,599,145.63/8,424.46
  6. Step 6: Final answer
    x = 3,276.07

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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.