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Finding the Fourth Proportional to 7,100.64, 10,650.72 and 1,906.40

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Solution

The fourth proportional to 7,100.64, 10,650.72 and 1,906.40 is: 2,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.64 : 10,650.72 = 1,906.40 : x
  2. Step 2: Convert to fraction form
    7,100.64/10,650.72 = 1,906.40/x
  3. Step 3: Cross multiply
    7,100.64x = 10,650.72 × 1,906.40
  4. Step 4: Simplify right side
    7,100.64x = 20,304,532.61
  5. Step 5: Solve for x
    x = 20,304,532.61/7,100.64
  6. Step 6: Final answer
    x = 2,859.54

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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.