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Finding the Fourth Proportional to 6,161.34, 8,481.18 and 5,374.02

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Solution

The fourth proportional to 6,161.34, 8,481.18 and 5,374.02 is: 7,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.34 : 8,481.18 = 5,374.02 : x
  2. Step 2: Convert to fraction form
    6,161.34/8,481.18 = 5,374.02/x
  3. Step 3: Cross multiply
    6,161.34x = 8,481.18 × 5,374.02
  4. Step 4: Simplify right side
    6,161.34x = 45,578,030.94
  5. Step 5: Solve for x
    x = 45,578,030.94/6,161.34
  6. Step 6: Final answer
    x = 7,397.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.