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Finding the Fourth Proportional to 11,940.85, 16,478.54 and 7,225.13

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Solution

The fourth proportional to 11,940.85, 16,478.54 and 7,225.13 is: 9,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.85 : 16,478.54 = 7,225.13 : x
  2. Step 2: Convert to fraction form
    11,940.85/16,478.54 = 7,225.13/x
  3. Step 3: Cross multiply
    11,940.85x = 16,478.54 × 7,225.13
  4. Step 4: Simplify right side
    11,940.85x = 119,059,625.88
  5. Step 5: Solve for x
    x = 119,059,625.88/11,940.85
  6. Step 6: Final answer
    x = 9,970.78

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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.