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Finding the Fourth Proportional to 8,164.18, 11,253.54 and 6,436.65

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Solution

The fourth proportional to 8,164.18, 11,253.54 and 6,436.65 is: 8,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.18 : 11,253.54 = 6,436.65 : x
  2. Step 2: Convert to fraction form
    8,164.18/11,253.54 = 6,436.65/x
  3. Step 3: Cross multiply
    8,164.18x = 11,253.54 × 6,436.65
  4. Step 4: Simplify right side
    8,164.18x = 72,435,164.58
  5. Step 5: Solve for x
    x = 72,435,164.58/8,164.18
  6. Step 6: Final answer
    x = 8,872.31

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