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Finding the Fourth Proportional to 8,051.51, 12,077.27 and 2,505.21

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Solution

The fourth proportional to 8,051.51, 12,077.27 and 2,505.21 is: 3,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.51 : 12,077.27 = 2,505.21 : x
  2. Step 2: Convert to fraction form
    8,051.51/12,077.27 = 2,505.21/x
  3. Step 3: Cross multiply
    8,051.51x = 12,077.27 × 2,505.21
  4. Step 4: Simplify right side
    8,051.51x = 30,256,097.58
  5. Step 5: Solve for x
    x = 30,256,097.58/8,051.51
  6. Step 6: Final answer
    x = 3,757.82

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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.