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Finding the Fourth Proportional to 8,506.75, 11,739.28 and 4,729.80

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Solution

The fourth proportional to 8,506.75, 11,739.28 and 4,729.80 is: 6,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.75 : 11,739.28 = 4,729.80 : x
  2. Step 2: Convert to fraction form
    8,506.75/11,739.28 = 4,729.80/x
  3. Step 3: Cross multiply
    8,506.75x = 11,739.28 × 4,729.80
  4. Step 4: Simplify right side
    8,506.75x = 55,524,446.54
  5. Step 5: Solve for x
    x = 55,524,446.54/8,506.75
  6. Step 6: Final answer
    x = 6,527.10

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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.