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Finding the Fourth Proportional to 8,292.74, 11,435.82 and 5,462.60

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Solution

The fourth proportional to 8,292.74, 11,435.82 and 5,462.60 is: 7,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.74 : 11,435.82 = 5,462.60 : x
  2. Step 2: Convert to fraction form
    8,292.74/11,435.82 = 5,462.60/x
  3. Step 3: Cross multiply
    8,292.74x = 11,435.82 × 5,462.60
  4. Step 4: Simplify right side
    8,292.74x = 62,469,310.33
  5. Step 5: Solve for x
    x = 62,469,310.33/8,292.74
  6. Step 6: Final answer
    x = 7,533.01

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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.