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Finding the Fourth Proportional to 7,646.43, 11,469.98 and 2,100.32

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Solution

The fourth proportional to 7,646.43, 11,469.98 and 2,100.32 is: 3,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.43 : 11,469.98 = 2,100.32 : x
  2. Step 2: Convert to fraction form
    7,646.43/11,469.98 = 2,100.32/x
  3. Step 3: Cross multiply
    7,646.43x = 11,469.98 × 2,100.32
  4. Step 4: Simplify right side
    7,646.43x = 24,090,560.54
  5. Step 5: Solve for x
    x = 24,090,560.54/7,646.43
  6. Step 6: Final answer
    x = 3,150.56

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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.