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Finding the Fourth Proportional to 8,412.84, 12,617.64 and 3,218.04

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Solution

The fourth proportional to 8,412.84, 12,617.64 and 3,218.04 is: 4,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.84 : 12,617.64 = 3,218.04 : x
  2. Step 2: Convert to fraction form
    8,412.84/12,617.64 = 3,218.04/x
  3. Step 3: Cross multiply
    8,412.84x = 12,617.64 × 3,218.04
  4. Step 4: Simplify right side
    8,412.84x = 40,604,070.23
  5. Step 5: Solve for x
    x = 40,604,070.23/8,412.84
  6. Step 6: Final answer
    x = 4,826.44

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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.