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Finding the Fourth Proportional to 7,102.83, 10,652.19 and 2,172.85

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Solution

The fourth proportional to 7,102.83, 10,652.19 and 2,172.85 is: 3,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.83 : 10,652.19 = 2,172.85 : x
  2. Step 2: Convert to fraction form
    7,102.83/10,652.19 = 2,172.85/x
  3. Step 3: Cross multiply
    7,102.83x = 10,652.19 × 2,172.85
  4. Step 4: Simplify right side
    7,102.83x = 23,145,611.04
  5. Step 5: Solve for x
    x = 23,145,611.04/7,102.83
  6. Step 6: Final answer
    x = 3,258.65

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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.