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Finding the Fourth Proportional to 7,101.87, 10,652.86 and 2,171.60

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Solution

The fourth proportional to 7,101.87, 10,652.86 and 2,171.60 is: 3,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.87 : 10,652.86 = 2,171.60 : x
  2. Step 2: Convert to fraction form
    7,101.87/10,652.86 = 2,171.60/x
  3. Step 3: Cross multiply
    7,101.87x = 10,652.86 × 2,171.60
  4. Step 4: Simplify right side
    7,101.87x = 23,133,750.78
  5. Step 5: Solve for x
    x = 23,133,750.78/7,101.87
  6. Step 6: Final answer
    x = 3,257.42

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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.