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Finding the Fourth Proportional to 8,102.48, 12,146.54 and 3,175.65

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Solution

The fourth proportional to 8,102.48, 12,146.54 and 3,175.65 is: 4,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.48 : 12,146.54 = 3,175.65 : x
  2. Step 2: Convert to fraction form
    8,102.48/12,146.54 = 3,175.65/x
  3. Step 3: Cross multiply
    8,102.48x = 12,146.54 × 3,175.65
  4. Step 4: Simplify right side
    8,102.48x = 38,573,143.87
  5. Step 5: Solve for x
    x = 38,573,143.87/8,102.48
  6. Step 6: Final answer
    x = 4,760.66

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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.