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Finding the Fourth Proportional to 8,494.24, 11,720.82 and 4,956.78

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Solution

The fourth proportional to 8,494.24, 11,720.82 and 4,956.78 is: 6,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.24 : 11,720.82 = 4,956.78 : x
  2. Step 2: Convert to fraction form
    8,494.24/11,720.82 = 4,956.78/x
  3. Step 3: Cross multiply
    8,494.24x = 11,720.82 × 4,956.78
  4. Step 4: Simplify right side
    8,494.24x = 58,097,526.16
  5. Step 5: Solve for x
    x = 58,097,526.16/8,494.24
  6. Step 6: Final answer
    x = 6,839.64

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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.