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Finding the Fourth Proportional to 8,366.88, 11,558.31 and 6,686.08

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Solution

The fourth proportional to 8,366.88, 11,558.31 and 6,686.08 is: 9,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.88 : 11,558.31 = 6,686.08 : x
  2. Step 2: Convert to fraction form
    8,366.88/11,558.31 = 6,686.08/x
  3. Step 3: Cross multiply
    8,366.88x = 11,558.31 × 6,686.08
  4. Step 4: Simplify right side
    8,366.88x = 77,279,785.32
  5. Step 5: Solve for x
    x = 77,279,785.32/8,366.88
  6. Step 6: Final answer
    x = 9,236.39

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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.