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Finding the Fourth Proportional to 8,296.74, 11,448.81 and 4,759.20

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Solution

The fourth proportional to 8,296.74, 11,448.81 and 4,759.20 is: 6,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.74 : 11,448.81 = 4,759.20 : x
  2. Step 2: Convert to fraction form
    8,296.74/11,448.81 = 4,759.20/x
  3. Step 3: Cross multiply
    8,296.74x = 11,448.81 × 4,759.20
  4. Step 4: Simplify right side
    8,296.74x = 54,487,176.55
  5. Step 5: Solve for x
    x = 54,487,176.55/8,296.74
  6. Step 6: Final answer
    x = 6,567.30

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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.