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Finding the Fourth Proportional to 8,272.90, 11,382.78 and 7,150.24

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Solution

The fourth proportional to 8,272.90, 11,382.78 and 7,150.24 is: 9,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.90 : 11,382.78 = 7,150.24 : x
  2. Step 2: Convert to fraction form
    8,272.90/11,382.78 = 7,150.24/x
  3. Step 3: Cross multiply
    8,272.90x = 11,382.78 × 7,150.24
  4. Step 4: Simplify right side
    8,272.90x = 81,389,608.87
  5. Step 5: Solve for x
    x = 81,389,608.87/8,272.90
  6. Step 6: Final answer
    x = 9,838.10

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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.