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Finding the Fourth Proportional to 7,818.64, 11,729.45 and 2,553.21

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Solution

The fourth proportional to 7,818.64, 11,729.45 and 2,553.21 is: 3,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.64 : 11,729.45 = 2,553.21 : x
  2. Step 2: Convert to fraction form
    7,818.64/11,729.45 = 2,553.21/x
  3. Step 3: Cross multiply
    7,818.64x = 11,729.45 × 2,553.21
  4. Step 4: Simplify right side
    7,818.64x = 29,947,755.42
  5. Step 5: Solve for x
    x = 29,947,755.42/7,818.64
  6. Step 6: Final answer
    x = 3,830.30

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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.