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Finding the Fourth Proportional to 8,134.14, 11,220.77 and 4,948.41

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Solution

The fourth proportional to 8,134.14, 11,220.77 and 4,948.41 is: 6,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.14 : 11,220.77 = 4,948.41 : x
  2. Step 2: Convert to fraction form
    8,134.14/11,220.77 = 4,948.41/x
  3. Step 3: Cross multiply
    8,134.14x = 11,220.77 × 4,948.41
  4. Step 4: Simplify right side
    8,134.14x = 55,524,970.48
  5. Step 5: Solve for x
    x = 55,524,970.48/8,134.14
  6. Step 6: Final answer
    x = 6,826.16

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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.