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Finding the Fourth Proportional to 7,186.12, 9,916.83 and 4,042.31

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Solution

The fourth proportional to 7,186.12, 9,916.83 and 4,042.31 is: 5,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.12 : 9,916.83 = 4,042.31 : x
  2. Step 2: Convert to fraction form
    7,186.12/9,916.83 = 4,042.31/x
  3. Step 3: Cross multiply
    7,186.12x = 9,916.83 × 4,042.31
  4. Step 4: Simplify right side
    7,186.12x = 40,086,851.49
  5. Step 5: Solve for x
    x = 40,086,851.49/7,186.12
  6. Step 6: Final answer
    x = 5,578.37

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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.