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Finding the Fourth Proportional to 11,831.34, 16,329 and 7,797.54

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Solution

The fourth proportional to 11,831.34, 16,329 and 7,797.54 is: 10,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.34 : 16,329 = 7,797.54 : x
  2. Step 2: Convert to fraction form
    11,831.34/16,329 = 7,797.54/x
  3. Step 3: Cross multiply
    11,831.34x = 16,329 × 7,797.54
  4. Step 4: Simplify right side
    11,831.34x = 127,326,030.66
  5. Step 5: Solve for x
    x = 127,326,030.66/11,831.34
  6. Step 6: Final answer
    x = 10,761.76

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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.