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Finding the Fourth Proportional to 8,283.12, 11,430.60 and 6,168.11

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Solution

The fourth proportional to 8,283.12, 11,430.60 and 6,168.11 is: 8,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.12 : 11,430.60 = 6,168.11 : x
  2. Step 2: Convert to fraction form
    8,283.12/11,430.60 = 6,168.11/x
  3. Step 3: Cross multiply
    8,283.12x = 11,430.60 × 6,168.11
  4. Step 4: Simplify right side
    8,283.12x = 70,505,198.17
  5. Step 5: Solve for x
    x = 70,505,198.17/8,283.12
  6. Step 6: Final answer
    x = 8,511.91

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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.