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Finding the Fourth Proportional to 6,116.90, 8,438.42 and 4,128.09

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Solution

The fourth proportional to 6,116.90, 8,438.42 and 4,128.09 is: 5,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.90 : 8,438.42 = 4,128.09 : x
  2. Step 2: Convert to fraction form
    6,116.90/8,438.42 = 4,128.09/x
  3. Step 3: Cross multiply
    6,116.90x = 8,438.42 × 4,128.09
  4. Step 4: Simplify right side
    6,116.90x = 34,834,536.58
  5. Step 5: Solve for x
    x = 34,834,536.58/6,116.90
  6. Step 6: Final answer
    x = 5,694.81

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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.