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Finding the Fourth Proportional to 8,295.36, 11,446.92 and 4,569.36

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Solution

The fourth proportional to 8,295.36, 11,446.92 and 4,569.36 is: 6,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.36 : 11,446.92 = 4,569.36 : x
  2. Step 2: Convert to fraction form
    8,295.36/11,446.92 = 4,569.36/x
  3. Step 3: Cross multiply
    8,295.36x = 11,446.92 × 4,569.36
  4. Step 4: Simplify right side
    8,295.36x = 52,305,098.37
  5. Step 5: Solve for x
    x = 52,305,098.37/8,295.36
  6. Step 6: Final answer
    x = 6,305.34

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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.