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Finding the Fourth Proportional to 7,506.51, 11,249.36 and 2,821.82

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Solution

The fourth proportional to 7,506.51, 11,249.36 and 2,821.82 is: 4,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.51 : 11,249.36 = 2,821.82 : x
  2. Step 2: Convert to fraction form
    7,506.51/11,249.36 = 2,821.82/x
  3. Step 3: Cross multiply
    7,506.51x = 11,249.36 × 2,821.82
  4. Step 4: Simplify right side
    7,506.51x = 31,743,609.26
  5. Step 5: Solve for x
    x = 31,743,609.26/7,506.51
  6. Step 6: Final answer
    x = 4,228.81

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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.