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Finding the Fourth Proportional to 8,052.66, 12,083.94 and 3,122.82

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Solution

The fourth proportional to 8,052.66, 12,083.94 and 3,122.82 is: 4,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.66 : 12,083.94 = 3,122.82 : x
  2. Step 2: Convert to fraction form
    8,052.66/12,083.94 = 3,122.82/x
  3. Step 3: Cross multiply
    8,052.66x = 12,083.94 × 3,122.82
  4. Step 4: Simplify right side
    8,052.66x = 37,735,969.51
  5. Step 5: Solve for x
    x = 37,735,969.51/8,052.66
  6. Step 6: Final answer
    x = 4,686.15

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Why These Related Problems?

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