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Finding the Fourth Proportional to 7,896.47, 11,844.54 and 3,216.29

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Solution

The fourth proportional to 7,896.47, 11,844.54 and 3,216.29 is: 4,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.47 : 11,844.54 = 3,216.29 : x
  2. Step 2: Convert to fraction form
    7,896.47/11,844.54 = 3,216.29/x
  3. Step 3: Cross multiply
    7,896.47x = 11,844.54 × 3,216.29
  4. Step 4: Simplify right side
    7,896.47x = 38,095,475.56
  5. Step 5: Solve for x
    x = 38,095,475.56/7,896.47
  6. Step 6: Final answer
    x = 4,824.37

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Why These Related Problems?

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