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Finding the Fourth Proportional to 8,400.96, 12,603.24 and 2,558.04

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Solution

The fourth proportional to 8,400.96, 12,603.24 and 2,558.04 is: 3,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.96 : 12,603.24 = 2,558.04 : x
  2. Step 2: Convert to fraction form
    8,400.96/12,603.24 = 2,558.04/x
  3. Step 3: Cross multiply
    8,400.96x = 12,603.24 × 2,558.04
  4. Step 4: Simplify right side
    8,400.96x = 32,239,592.05
  5. Step 5: Solve for x
    x = 32,239,592.05/8,400.96
  6. Step 6: Final answer
    x = 3,837.61

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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.