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Finding the Fourth Proportional to 7,896.32, 10,897.32 and 5,239.20

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Solution

The fourth proportional to 7,896.32, 10,897.32 and 5,239.20 is: 7,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.32 : 10,897.32 = 5,239.20 : x
  2. Step 2: Convert to fraction form
    7,896.32/10,897.32 = 5,239.20/x
  3. Step 3: Cross multiply
    7,896.32x = 10,897.32 × 5,239.20
  4. Step 4: Simplify right side
    7,896.32x = 57,093,238.94
  5. Step 5: Solve for x
    x = 57,093,238.94/7,896.32
  6. Step 6: Final answer
    x = 7,230.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.