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Finding the Fourth Proportional to 8,294.78, 11,447.46 and 4,759.14

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Solution

The fourth proportional to 8,294.78, 11,447.46 and 4,759.14 is: 6,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.78 : 11,447.46 = 4,759.14 : x
  2. Step 2: Convert to fraction form
    8,294.78/11,447.46 = 4,759.14/x
  3. Step 3: Cross multiply
    8,294.78x = 11,447.46 × 4,759.14
  4. Step 4: Simplify right side
    8,294.78x = 54,480,064.78
  5. Step 5: Solve for x
    x = 54,480,064.78/8,294.78
  6. Step 6: Final answer
    x = 6,567.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.