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Finding the Fourth Proportional to 8,052.51, 12,077.37 and 2,129.46

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Solution

The fourth proportional to 8,052.51, 12,077.37 and 2,129.46 is: 3,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.51 : 12,077.37 = 2,129.46 : x
  2. Step 2: Convert to fraction form
    8,052.51/12,077.37 = 2,129.46/x
  3. Step 3: Cross multiply
    8,052.51x = 12,077.37 × 2,129.46
  4. Step 4: Simplify right side
    8,052.51x = 25,718,298.97
  5. Step 5: Solve for x
    x = 25,718,298.97/8,052.51
  6. Step 6: Final answer
    x = 3,193.82

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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.