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Finding the Fourth Proportional to 8,471.76, 12,707.76 and 2,628

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Solution

The fourth proportional to 8,471.76, 12,707.76 and 2,628 is: 3,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.76 : 12,707.76 = 2,628 : x
  2. Step 2: Convert to fraction form
    8,471.76/12,707.76 = 2,628/x
  3. Step 3: Cross multiply
    8,471.76x = 12,707.76 × 2,628
  4. Step 4: Simplify right side
    8,471.76x = 33,395,993.28
  5. Step 5: Solve for x
    x = 33,395,993.28/8,471.76
  6. Step 6: Final answer
    x = 3,942.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.