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Finding the Fourth Proportional to 8,863.30, 13,208.09 and 8,085.70

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Solution

The fourth proportional to 8,863.30, 13,208.09 and 8,085.70 is: 12,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863.30 : 13,208.09 = 8,085.70 : x
  2. Step 2: Convert to fraction form
    8,863.30/13,208.09 = 8,085.70/x
  3. Step 3: Cross multiply
    8,863.30x = 13,208.09 × 8,085.70
  4. Step 4: Simplify right side
    8,863.30x = 106,796,653.31
  5. Step 5: Solve for x
    x = 106,796,653.31/8,863.30
  6. Step 6: Final answer
    x = 12,049.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.