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Finding the Fourth Proportional to 11,216.88, 16,831.80 and 4,296.24

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Solution

The fourth proportional to 11,216.88, 16,831.80 and 4,296.24 is: 6,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.88 : 16,831.80 = 4,296.24 : x
  2. Step 2: Convert to fraction form
    11,216.88/16,831.80 = 4,296.24/x
  3. Step 3: Cross multiply
    11,216.88x = 16,831.80 × 4,296.24
  4. Step 4: Simplify right side
    11,216.88x = 72,313,452.43
  5. Step 5: Solve for x
    x = 72,313,452.43/11,216.88
  6. Step 6: Final answer
    x = 6,446.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.