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Finding the Fourth Proportional to 7,202.98, 10,827.02 and 4,753.54

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Solution

The fourth proportional to 7,202.98, 10,827.02 and 4,753.54 is: 7,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.98 : 10,827.02 = 4,753.54 : x
  2. Step 2: Convert to fraction form
    7,202.98/10,827.02 = 4,753.54/x
  3. Step 3: Cross multiply
    7,202.98x = 10,827.02 × 4,753.54
  4. Step 4: Simplify right side
    7,202.98x = 51,466,610.43
  5. Step 5: Solve for x
    x = 51,466,610.43/7,202.98
  6. Step 6: Final answer
    x = 7,145.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.