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Finding the Fourth Proportional to 8,341.44, 11,512.71 and 4,806.78

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Solution

The fourth proportional to 8,341.44, 11,512.71 and 4,806.78 is: 6,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.44 : 11,512.71 = 4,806.78 : x
  2. Step 2: Convert to fraction form
    8,341.44/11,512.71 = 4,806.78/x
  3. Step 3: Cross multiply
    8,341.44x = 11,512.71 × 4,806.78
  4. Step 4: Simplify right side
    8,341.44x = 55,339,064.17
  5. Step 5: Solve for x
    x = 55,339,064.17/8,341.44
  6. Step 6: Final answer
    x = 6,634.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.