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Finding the Fourth Proportional to 7,739.62, 10,680.90 and 4,203.07

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Solution

The fourth proportional to 7,739.62, 10,680.90 and 4,203.07 is: 5,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.62 : 10,680.90 = 4,203.07 : x
  2. Step 2: Convert to fraction form
    7,739.62/10,680.90 = 4,203.07/x
  3. Step 3: Cross multiply
    7,739.62x = 10,680.90 × 4,203.07
  4. Step 4: Simplify right side
    7,739.62x = 44,892,570.36
  5. Step 5: Solve for x
    x = 44,892,570.36/7,739.62
  6. Step 6: Final answer
    x = 5,800.36

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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.