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Finding the Fourth Proportional to 7,207.44, 10,813.77 and 2,827.89

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Solution

The fourth proportional to 7,207.44, 10,813.77 and 2,827.89 is: 4,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.44 : 10,813.77 = 2,827.89 : x
  2. Step 2: Convert to fraction form
    7,207.44/10,813.77 = 2,827.89/x
  3. Step 3: Cross multiply
    7,207.44x = 10,813.77 × 2,827.89
  4. Step 4: Simplify right side
    7,207.44x = 30,580,152.05
  5. Step 5: Solve for x
    x = 30,580,152.05/7,207.44
  6. Step 6: Final answer
    x = 4,242.86

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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.