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Finding the Fourth Proportional to 8,433.06, 11,640.69 and 6,858.42

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Solution

The fourth proportional to 8,433.06, 11,640.69 and 6,858.42 is: 9,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.06 : 11,640.69 = 6,858.42 : x
  2. Step 2: Convert to fraction form
    8,433.06/11,640.69 = 6,858.42/x
  3. Step 3: Cross multiply
    8,433.06x = 11,640.69 × 6,858.42
  4. Step 4: Simplify right side
    8,433.06x = 79,836,741.11
  5. Step 5: Solve for x
    x = 79,836,741.11/8,433.06
  6. Step 6: Final answer
    x = 9,467.11

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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.