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Finding the Fourth Proportional to 6,822.31, 10,194.64 and 5,122.63

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Solution

The fourth proportional to 6,822.31, 10,194.64 and 5,122.63 is: 7,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.31 : 10,194.64 = 5,122.63 : x
  2. Step 2: Convert to fraction form
    6,822.31/10,194.64 = 5,122.63/x
  3. Step 3: Cross multiply
    6,822.31x = 10,194.64 × 5,122.63
  4. Step 4: Simplify right side
    6,822.31x = 52,223,368.70
  5. Step 5: Solve for x
    x = 52,223,368.70/6,822.31
  6. Step 6: Final answer
    x = 7,654.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.