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Finding the Fourth Proportional to 7,849.30, 11,773.64 and 2,655.17

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Solution

The fourth proportional to 7,849.30, 11,773.64 and 2,655.17 is: 3,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.30 : 11,773.64 = 2,655.17 : x
  2. Step 2: Convert to fraction form
    7,849.30/11,773.64 = 2,655.17/x
  3. Step 3: Cross multiply
    7,849.30x = 11,773.64 × 2,655.17
  4. Step 4: Simplify right side
    7,849.30x = 31,261,002.44
  5. Step 5: Solve for x
    x = 31,261,002.44/7,849.30
  6. Step 6: Final answer
    x = 3,982.65

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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.