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Finding the Fourth Proportional to 8,412.83, 12,624.69 and 3,218.70

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Solution

The fourth proportional to 8,412.83, 12,624.69 and 3,218.70 is: 4,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.83 : 12,624.69 = 3,218.70 : x
  2. Step 2: Convert to fraction form
    8,412.83/12,624.69 = 3,218.70/x
  3. Step 3: Cross multiply
    8,412.83x = 12,624.69 × 3,218.70
  4. Step 4: Simplify right side
    8,412.83x = 40,635,149.12
  5. Step 5: Solve for x
    x = 40,635,149.12/8,412.83
  6. Step 6: Final answer
    x = 4,830.14

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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.