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Finding the Fourth Proportional to 12,077.57, 16,663.13 and 7,831.94

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Solution

The fourth proportional to 12,077.57, 16,663.13 and 7,831.94 is: 10,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.57 : 16,663.13 = 7,831.94 : x
  2. Step 2: Convert to fraction form
    12,077.57/16,663.13 = 7,831.94/x
  3. Step 3: Cross multiply
    12,077.57x = 16,663.13 × 7,831.94
  4. Step 4: Simplify right side
    12,077.57x = 130,504,634.37
  5. Step 5: Solve for x
    x = 130,504,634.37/12,077.57
  6. Step 6: Final answer
    x = 10,805.54

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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.