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Finding the Fourth Proportional to 6,100.36, 8,415.93 and 4,107.46

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Solution

The fourth proportional to 6,100.36, 8,415.93 and 4,107.46 is: 5,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.36 : 8,415.93 = 4,107.46 : x
  2. Step 2: Convert to fraction form
    6,100.36/8,415.93 = 4,107.46/x
  3. Step 3: Cross multiply
    6,100.36x = 8,415.93 × 4,107.46
  4. Step 4: Simplify right side
    6,100.36x = 34,568,071.32
  5. Step 5: Solve for x
    x = 34,568,071.32/6,100.36
  6. Step 6: Final answer
    x = 5,666.56

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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.