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Finding the Fourth Proportional to 8,822.25, 12,175.79 and 5,096.25

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Solution

The fourth proportional to 8,822.25, 12,175.79 and 5,096.25 is: 7,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.25 : 12,175.79 = 5,096.25 : x
  2. Step 2: Convert to fraction form
    8,822.25/12,175.79 = 5,096.25/x
  3. Step 3: Cross multiply
    8,822.25x = 12,175.79 × 5,096.25
  4. Step 4: Simplify right side
    8,822.25x = 62,050,844.31
  5. Step 5: Solve for x
    x = 62,050,844.31/8,822.25
  6. Step 6: Final answer
    x = 7,033.45

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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.