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Finding the Fourth Proportional to 8,729.65, 13,097.84 and 4,052.05

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Solution

The fourth proportional to 8,729.65, 13,097.84 and 4,052.05 is: 6,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.65 : 13,097.84 = 4,052.05 : x
  2. Step 2: Convert to fraction form
    8,729.65/13,097.84 = 4,052.05/x
  3. Step 3: Cross multiply
    8,729.65x = 13,097.84 × 4,052.05
  4. Step 4: Simplify right side
    8,729.65x = 53,073,102.57
  5. Step 5: Solve for x
    x = 53,073,102.57/8,729.65
  6. Step 6: Final answer
    x = 6,079.64

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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.