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Finding the Fourth Proportional to 7,101.56, 10,652.11 and 2,171

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Solution

The fourth proportional to 7,101.56, 10,652.11 and 2,171 is: 3,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.56 : 10,652.11 = 2,171 : x
  2. Step 2: Convert to fraction form
    7,101.56/10,652.11 = 2,171/x
  3. Step 3: Cross multiply
    7,101.56x = 10,652.11 × 2,171
  4. Step 4: Simplify right side
    7,101.56x = 23,125,730.81
  5. Step 5: Solve for x
    x = 23,125,730.81/7,101.56
  6. Step 6: Final answer
    x = 3,256.43

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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.