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Finding the Fourth Proportional to 8,412.63, 12,618.96 and 8,400.48

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Solution

The fourth proportional to 8,412.63, 12,618.96 and 8,400.48 is: 12,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.63 : 12,618.96 = 8,400.48 : x
  2. Step 2: Convert to fraction form
    8,412.63/12,618.96 = 8,400.48/x
  3. Step 3: Cross multiply
    8,412.63x = 12,618.96 × 8,400.48
  4. Step 4: Simplify right side
    8,412.63x = 106,005,321.10
  5. Step 5: Solve for x
    x = 106,005,321.10/8,412.63
  6. Step 6: Final answer
    x = 12,600.73

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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.