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Finding the Fourth Proportional to 7,820.55, 11,729.00 and 3,144.02

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Solution

The fourth proportional to 7,820.55, 11,729.00 and 3,144.02 is: 4,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.55 : 11,729.00 = 3,144.02 : x
  2. Step 2: Convert to fraction form
    7,820.55/11,729.00 = 3,144.02/x
  3. Step 3: Cross multiply
    7,820.55x = 11,729.00 × 3,144.02
  4. Step 4: Simplify right side
    7,820.55x = 36,876,159.80
  5. Step 5: Solve for x
    x = 36,876,159.80/7,820.55
  6. Step 6: Final answer
    x = 4,715.29

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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.