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Finding the Fourth Proportional to 7,234.77, 10,853.03 and 2,553.82

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Solution

The fourth proportional to 7,234.77, 10,853.03 and 2,553.82 is: 3,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.77 : 10,853.03 = 2,553.82 : x
  2. Step 2: Convert to fraction form
    7,234.77/10,853.03 = 2,553.82/x
  3. Step 3: Cross multiply
    7,234.77x = 10,853.03 × 2,553.82
  4. Step 4: Simplify right side
    7,234.77x = 27,716,618.04
  5. Step 5: Solve for x
    x = 27,716,618.04/7,234.77
  6. Step 6: Final answer
    x = 3,831.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.