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Finding the Fourth Proportional to 11,863.50, 16,371.36 and 6,558.36

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Solution

The fourth proportional to 11,863.50, 16,371.36 and 6,558.36 is: 9,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.50 : 16,371.36 = 6,558.36 : x
  2. Step 2: Convert to fraction form
    11,863.50/16,371.36 = 6,558.36/x
  3. Step 3: Cross multiply
    11,863.50x = 16,371.36 × 6,558.36
  4. Step 4: Simplify right side
    11,863.50x = 107,369,272.57
  5. Step 5: Solve for x
    x = 107,369,272.57/11,863.50
  6. Step 6: Final answer
    x = 9,050.39

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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.