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Finding the Fourth Proportional to 6,415.28, 8,858.09 and 4,920.82

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Solution

The fourth proportional to 6,415.28, 8,858.09 and 4,920.82 is: 6,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.28 : 8,858.09 = 4,920.82 : x
  2. Step 2: Convert to fraction form
    6,415.28/8,858.09 = 4,920.82/x
  3. Step 3: Cross multiply
    6,415.28x = 8,858.09 × 4,920.82
  4. Step 4: Simplify right side
    6,415.28x = 43,589,066.43
  5. Step 5: Solve for x
    x = 43,589,066.43/6,415.28
  6. Step 6: Final answer
    x = 6,794.57

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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.