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Finding the Fourth Proportional to 8,729.85, 13,089.03 and 3,182.16

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Solution

The fourth proportional to 8,729.85, 13,089.03 and 3,182.16 is: 4,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.85 : 13,089.03 = 3,182.16 : x
  2. Step 2: Convert to fraction form
    8,729.85/13,089.03 = 3,182.16/x
  3. Step 3: Cross multiply
    8,729.85x = 13,089.03 × 3,182.16
  4. Step 4: Simplify right side
    8,729.85x = 41,651,322.26
  5. Step 5: Solve for x
    x = 41,651,322.26/8,729.85
  6. Step 6: Final answer
    x = 4,771.14

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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.