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Finding the Fourth Proportional to 8,053.70, 12,076.72 and 2,986.24

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Solution

The fourth proportional to 8,053.70, 12,076.72 and 2,986.24 is: 4,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.70 : 12,076.72 = 2,986.24 : x
  2. Step 2: Convert to fraction form
    8,053.70/12,076.72 = 2,986.24/x
  3. Step 3: Cross multiply
    8,053.70x = 12,076.72 × 2,986.24
  4. Step 4: Simplify right side
    8,053.70x = 36,063,984.33
  5. Step 5: Solve for x
    x = 36,063,984.33/8,053.70
  6. Step 6: Final answer
    x = 4,477.94

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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.