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Finding the Fourth Proportional to 11,009.57, 15,190.83 and 6,534.80

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Solution

The fourth proportional to 11,009.57, 15,190.83 and 6,534.80 is: 9,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.57 : 15,190.83 = 6,534.80 : x
  2. Step 2: Convert to fraction form
    11,009.57/15,190.83 = 6,534.80/x
  3. Step 3: Cross multiply
    11,009.57x = 15,190.83 × 6,534.80
  4. Step 4: Simplify right side
    11,009.57x = 99,268,959.93
  5. Step 5: Solve for x
    x = 99,268,959.93/11,009.57
  6. Step 6: Final answer
    x = 9,016.61

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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.