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Finding the Fourth Proportional to 10,797.75, 16,189.71 and 4,556.07

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Solution

The fourth proportional to 10,797.75, 16,189.71 and 4,556.07 is: 6,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.75 : 16,189.71 = 4,556.07 : x
  2. Step 2: Convert to fraction form
    10,797.75/16,189.71 = 4,556.07/x
  3. Step 3: Cross multiply
    10,797.75x = 16,189.71 × 4,556.07
  4. Step 4: Simplify right side
    10,797.75x = 73,761,452.04
  5. Step 5: Solve for x
    x = 73,761,452.04/10,797.75
  6. Step 6: Final answer
    x = 6,831.19

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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.