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Finding the Fourth Proportional to 7,003.80, 9,665.16 and 3,859.92

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Solution

The fourth proportional to 7,003.80, 9,665.16 and 3,859.92 is: 5,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.80 : 9,665.16 = 3,859.92 : x
  2. Step 2: Convert to fraction form
    7,003.80/9,665.16 = 3,859.92/x
  3. Step 3: Cross multiply
    7,003.80x = 9,665.16 × 3,859.92
  4. Step 4: Simplify right side
    7,003.80x = 37,306,744.39
  5. Step 5: Solve for x
    x = 37,306,744.39/7,003.80
  6. Step 6: Final answer
    x = 5,326.64

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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.