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Finding the Fourth Proportional to 8,176.92, 12,261.24 and 4,010.64

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Solution

The fourth proportional to 8,176.92, 12,261.24 and 4,010.64 is: 6,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.92 : 12,261.24 = 4,010.64 : x
  2. Step 2: Convert to fraction form
    8,176.92/12,261.24 = 4,010.64/x
  3. Step 3: Cross multiply
    8,176.92x = 12,261.24 × 4,010.64
  4. Step 4: Simplify right side
    8,176.92x = 49,175,419.59
  5. Step 5: Solve for x
    x = 49,175,419.59/8,176.92
  6. Step 6: Final answer
    x = 6,013.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.