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Finding the Fourth Proportional to 11,895.24, 16,423.40 and 7,420.80

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Solution

The fourth proportional to 11,895.24, 16,423.40 and 7,420.80 is: 10,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.24 : 16,423.40 = 7,420.80 : x
  2. Step 2: Convert to fraction form
    11,895.24/16,423.40 = 7,420.80/x
  3. Step 3: Cross multiply
    11,895.24x = 16,423.40 × 7,420.80
  4. Step 4: Simplify right side
    11,895.24x = 121,874,766.72
  5. Step 5: Solve for x
    x = 121,874,766.72/11,895.24
  6. Step 6: Final answer
    x = 10,245.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.