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Finding the Fourth Proportional to 11,900.75, 16,418.63 and 7,120.80

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Solution

The fourth proportional to 11,900.75, 16,418.63 and 7,120.80 is: 9,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.75 : 16,418.63 = 7,120.80 : x
  2. Step 2: Convert to fraction form
    11,900.75/16,418.63 = 7,120.80/x
  3. Step 3: Cross multiply
    11,900.75x = 16,418.63 × 7,120.80
  4. Step 4: Simplify right side
    11,900.75x = 116,913,798.31
  5. Step 5: Solve for x
    x = 116,913,798.31/11,900.75
  6. Step 6: Final answer
    x = 9,824.07

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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.