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Finding the Fourth Proportional to 8,420.46, 12,623.75 and 3,355.16

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Solution

The fourth proportional to 8,420.46, 12,623.75 and 3,355.16 is: 5,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.46 : 12,623.75 = 3,355.16 : x
  2. Step 2: Convert to fraction form
    8,420.46/12,623.75 = 3,355.16/x
  3. Step 3: Cross multiply
    8,420.46x = 12,623.75 × 3,355.16
  4. Step 4: Simplify right side
    8,420.46x = 42,354,633.74
  5. Step 5: Solve for x
    x = 42,354,633.74/8,420.46
  6. Step 6: Final answer
    x = 5,029.97

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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.