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Finding the Fourth Proportional to 7,102.98, 10,650.33 and 2,171.16

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Solution

The fourth proportional to 7,102.98, 10,650.33 and 2,171.16 is: 3,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.98 : 10,650.33 = 2,171.16 : x
  2. Step 2: Convert to fraction form
    7,102.98/10,650.33 = 2,171.16/x
  3. Step 3: Cross multiply
    7,102.98x = 10,650.33 × 2,171.16
  4. Step 4: Simplify right side
    7,102.98x = 23,123,570.48
  5. Step 5: Solve for x
    x = 23,123,570.48/7,102.98
  6. Step 6: Final answer
    x = 3,255.47

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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.