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Finding the Fourth Proportional to 7,121.23, 9,820.92 and 5,930.16

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Solution

The fourth proportional to 7,121.23, 9,820.92 and 5,930.16 is: 8,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.23 : 9,820.92 = 5,930.16 : x
  2. Step 2: Convert to fraction form
    7,121.23/9,820.92 = 5,930.16/x
  3. Step 3: Cross multiply
    7,121.23x = 9,820.92 × 5,930.16
  4. Step 4: Simplify right side
    7,121.23x = 58,239,604.71
  5. Step 5: Solve for x
    x = 58,239,604.71/7,121.23
  6. Step 6: Final answer
    x = 8,178.31

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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.