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Finding the Fourth Proportional to 7,102.36, 10,650.08 and 2,660.70

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Solution

The fourth proportional to 7,102.36, 10,650.08 and 2,660.70 is: 3,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.36 : 10,650.08 = 2,660.70 : x
  2. Step 2: Convert to fraction form
    7,102.36/10,650.08 = 2,660.70/x
  3. Step 3: Cross multiply
    7,102.36x = 10,650.08 × 2,660.70
  4. Step 4: Simplify right side
    7,102.36x = 28,336,654.54
  5. Step 5: Solve for x
    x = 28,336,654.54/7,102.36
  6. Step 6: Final answer
    x = 3,989.75

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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.