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Finding the Fourth Proportional to 6,730.54, 10,090.77 and 4,644.59

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Solution

The fourth proportional to 6,730.54, 10,090.77 and 4,644.59 is: 6,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.54 : 10,090.77 = 4,644.59 : x
  2. Step 2: Convert to fraction form
    6,730.54/10,090.77 = 4,644.59/x
  3. Step 3: Cross multiply
    6,730.54x = 10,090.77 × 4,644.59
  4. Step 4: Simplify right side
    6,730.54x = 46,867,489.43
  5. Step 5: Solve for x
    x = 46,867,489.43/6,730.54
  6. Step 6: Final answer
    x = 6,963.41

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