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Finding the Fourth Proportional to 11,777.80, 16,254.37 and 8,009.33

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Solution

The fourth proportional to 11,777.80, 16,254.37 and 8,009.33 is: 11,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.80 : 16,254.37 = 8,009.33 : x
  2. Step 2: Convert to fraction form
    11,777.80/16,254.37 = 8,009.33/x
  3. Step 3: Cross multiply
    11,777.80x = 16,254.37 × 8,009.33
  4. Step 4: Simplify right side
    11,777.80x = 130,186,562.92
  5. Step 5: Solve for x
    x = 130,186,562.92/11,777.80
  6. Step 6: Final answer
    x = 11,053.55

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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.