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Finding the Fourth Proportional to 11,474.28, 15,831.06 and 6,756.84

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Solution

The fourth proportional to 11,474.28, 15,831.06 and 6,756.84 is: 9,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.28 : 15,831.06 = 6,756.84 : x
  2. Step 2: Convert to fraction form
    11,474.28/15,831.06 = 6,756.84/x
  3. Step 3: Cross multiply
    11,474.28x = 15,831.06 × 6,756.84
  4. Step 4: Simplify right side
    11,474.28x = 106,967,939.45
  5. Step 5: Solve for x
    x = 106,967,939.45/11,474.28
  6. Step 6: Final answer
    x = 9,322.41

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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.