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Finding the Fourth Proportional to 8,076.65, 12,120.53 and 3,146.31

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Solution

The fourth proportional to 8,076.65, 12,120.53 and 3,146.31 is: 4,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.65 : 12,120.53 = 3,146.31 : x
  2. Step 2: Convert to fraction form
    8,076.65/12,120.53 = 3,146.31/x
  3. Step 3: Cross multiply
    8,076.65x = 12,120.53 × 3,146.31
  4. Step 4: Simplify right side
    8,076.65x = 38,134,929.01
  5. Step 5: Solve for x
    x = 38,134,929.01/8,076.65
  6. Step 6: Final answer
    x = 4,721.63

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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.