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Finding the Fourth Proportional to 7,102.22, 10,652.07 and 1,906.88

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Solution

The fourth proportional to 7,102.22, 10,652.07 and 1,906.88 is: 2,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.22 : 10,652.07 = 1,906.88 : x
  2. Step 2: Convert to fraction form
    7,102.22/10,652.07 = 1,906.88/x
  3. Step 3: Cross multiply
    7,102.22x = 10,652.07 × 1,906.88
  4. Step 4: Simplify right side
    7,102.22x = 20,312,173.13
  5. Step 5: Solve for x
    x = 20,312,173.13/7,102.22
  6. Step 6: Final answer
    x = 2,859.98

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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.