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Finding the Fourth Proportional to 10,042.54, 13,857.02 and 6,690.36

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Solution

The fourth proportional to 10,042.54, 13,857.02 and 6,690.36 is: 9,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.54 : 13,857.02 = 6,690.36 : x
  2. Step 2: Convert to fraction form
    10,042.54/13,857.02 = 6,690.36/x
  3. Step 3: Cross multiply
    10,042.54x = 13,857.02 × 6,690.36
  4. Step 4: Simplify right side
    10,042.54x = 92,708,452.33
  5. Step 5: Solve for x
    x = 92,708,452.33/10,042.54
  6. Step 6: Final answer
    x = 9,231.57

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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.