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Finding the Fourth Proportional to 7,153.26, 10,729.90 and 3,049.26

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Solution

The fourth proportional to 7,153.26, 10,729.90 and 3,049.26 is: 4,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.26 : 10,729.90 = 3,049.26 : x
  2. Step 2: Convert to fraction form
    7,153.26/10,729.90 = 3,049.26/x
  3. Step 3: Cross multiply
    7,153.26x = 10,729.90 × 3,049.26
  4. Step 4: Simplify right side
    7,153.26x = 32,718,254.87
  5. Step 5: Solve for x
    x = 32,718,254.87/7,153.26
  6. Step 6: Final answer
    x = 4,573.89

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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.