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Finding the Fourth Proportional to 8,164.86, 11,270.88 and 6,176.04

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Solution

The fourth proportional to 8,164.86, 11,270.88 and 6,176.04 is: 8,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.86 : 11,270.88 = 6,176.04 : x
  2. Step 2: Convert to fraction form
    8,164.86/11,270.88 = 6,176.04/x
  3. Step 3: Cross multiply
    8,164.86x = 11,270.88 × 6,176.04
  4. Step 4: Simplify right side
    8,164.86x = 69,609,405.72
  5. Step 5: Solve for x
    x = 69,609,405.72/8,164.86
  6. Step 6: Final answer
    x = 8,525.49

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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.