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Finding the Fourth Proportional to 11,752.31, 16,216.20 and 7,771.30

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Solution

The fourth proportional to 11,752.31, 16,216.20 and 7,771.30 is: 10,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.31 : 16,216.20 = 7,771.30 : x
  2. Step 2: Convert to fraction form
    11,752.31/16,216.20 = 7,771.30/x
  3. Step 3: Cross multiply
    11,752.31x = 16,216.20 × 7,771.30
  4. Step 4: Simplify right side
    11,752.31x = 126,020,914.52
  5. Step 5: Solve for x
    x = 126,020,914.52/11,752.31
  6. Step 6: Final answer
    x = 10,723.07

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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.