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Finding the Fourth Proportional to 6,411.96, 8,848.62 and 3,761.28

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Solution

The fourth proportional to 6,411.96, 8,848.62 and 3,761.28 is: 5,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.96 : 8,848.62 = 3,761.28 : x
  2. Step 2: Convert to fraction form
    6,411.96/8,848.62 = 3,761.28/x
  3. Step 3: Cross multiply
    6,411.96x = 8,848.62 × 3,761.28
  4. Step 4: Simplify right side
    6,411.96x = 33,282,137.43
  5. Step 5: Solve for x
    x = 33,282,137.43/6,411.96
  6. Step 6: Final answer
    x = 5,190.63

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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.