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Finding the Fourth Proportional to 6,104.73, 8,422.02 and 4,115.93

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Solution

The fourth proportional to 6,104.73, 8,422.02 and 4,115.93 is: 5,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.73 : 8,422.02 = 4,115.93 : x
  2. Step 2: Convert to fraction form
    6,104.73/8,422.02 = 4,115.93/x
  3. Step 3: Cross multiply
    6,104.73x = 8,422.02 × 4,115.93
  4. Step 4: Simplify right side
    6,104.73x = 34,664,444.78
  5. Step 5: Solve for x
    x = 34,664,444.78/6,104.73
  6. Step 6: Final answer
    x = 5,678.29

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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.